HATADA Kazuyuki

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Name
HATADA Kazuyuki
Affiliation
IBC; Gifu University
Section
Research Department; Faculty of Education
Job title
H.ProfSci, DDG, IOM
Degree
Doctor of Science(The University of Tokyo), Master of Science(The University of Tokyo), Bachelor of Science(The University of Tokyo)

Research Areas

 
 
  • Mathematics / Algebra / modular form
  • Mathematics / Algebra / 
  • Mathematics / Geometry / modular variety, scheme
  • Mathematics / Algebra / Number Theory

Academic & Professional Experience

 
Jan 2017
 - 
Today
Honorary Professor of Science, Research Department, IBC (Cambridge, England)
 
Aug 1999
 - 
Mar 2017
Full Professor, Gifu University Faculty of Education, Department of Mathematics (Algebra)
 
Aug 1999
 - 
Mar 2017
Full Professor, Faculty of Education, Gifu University
 
2001
 - 
2003
Lecturer (part time), Nagoya University
 
Apr 1981
 - 
Jul 1999
associate Professor, Gifu University Faculty of Education, Department of Mathematics (Algebra and Gometry)
 
Oct 1993
 - 
Nov 1993
Visiting Professor, Mathematique Department, Universite de Paris XI
 
Apr 1980
 - 
Mar 1981
researcher of Mathematics, Department of Mathematics, Faculty of Science, The University of Tokyo
 
Apr 1979
 - 
Mar 1980
Research Fellow, Japan Society for Promotion of Science (Research Fellow at Dept. of Math., Fac. of Sci., The University of Tokyo)
 

Education

 
Apr 1976
 - 
Mar 1979
Department of Mathematics, Doctor Course, Division of Science, Graduate School, The University of Tokyo
 
Apr 1974
 - 
Mar 1976
Department of Mathematics, Master Course, Division of Science, Graduate School, The University of Tokyo
 
Apr 1972
 - 
Mar 1974
Department of Mathematics, Faculty of Science, The University of Tokyo
 
Apr 1970
 - 
Mar 1972
Rika 1-rui, Faculty for preparing latter education in the University of Tokyo, The University of Tokyo
 

Awards & Honors

 
Oct 2017
To: Mathematician Kazuyuki HATADA, Albert Nelson Marquis Lifetime Achievement Award, Marquis Who's Who (New Jersey, USA)
Winner: Kazuyuki HATADA
 
Through Internet please read the cite of
Albert Nelson Marquis Lifetime Achievement
award for Kazuyuki HATADA.
May 2017
International Scientist of the 2017, IBC (Cambridge, England)
Winner: Kazuyuki HATADA
 
for Proving the Generalized Ramanujan Conjecture
Feb 2017
Top 100 Scientists, IBC (Cambridge, England)
 
Jan 2017
Honorary Professor of Science, Honorary Professor of Science, IBC (Cambridge, England)
Winner: Kazuyuki HATADA
 
for services to Number Theory and Modular Forms
Dec 2016
World Leader of the Sciences -2016-, IBC (Cambridge, England)
Winner: Kazuyuki HATADA
 
for Proving the Generalized Ramanujan Conjecture
2016
The Sir Isaak Newton Legacy of Honour Award, IBC (Cambridge, England)
Winner: Kazuyuki HATADA
 
Mar 2015
Universal Proclamation of Excellence, Universal Proclaamation of Excellence, IBC (Cambridge, England)
Winner: Kazuyuki HATADA
 
for proving that in any degree there are
infinitely many Siegel cusp eigenforms
satisfying Generalized Ramanujan Conjecture

Published Papers

 
MR3671430 [Review of A. Saha's paper `Hybrid sup-norm bounds for Maass newforms of powerful level', Algebra Number Theory, Vol. 11 (2017), no. 5, pp. 1009-1045]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (February) 30-31   Feb 2018   [Refereed][Invited]
MR3512875 [N. Billerey and R. Menares' paper `On the modularity of reducible mod Tex Galois representations', Math. Res. Lett. Vol. 23 (2016), no. 1, pp. 15-41]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (November) 29-30   Nov 2017   [Refereed][Invited]
MR3610690 [Review of J. Newton's paper `Level raising for p-adic Hilbert modular forms', J. Theor. Nombres Bordeaux, Vol. 28 (2016), no. 3, pp. 621-653]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (September) 56-56   Sep 2017   [Refereed][Invited]
MR3498111 [Review of Gallenkamper, B. Heim and A. Krieg's paper `The Maass space and Hecke operators', In: Internat. J. Math., Vol. 27 (2016), no. 5, 1650039, 8pp.]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (March) 51-52   Mar 2017   [Refereed][Invited]
Maximum values of Tex and Tex on symmetric regions of Tex
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   101(2) 395-406   2017   [Refereed]
Equality in inequalities of rearrangements
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   101(2) 407-414   2017   [Refereed]
On inequalities of several variables
Kazuyuki HATADA; Takumi Nishi
Annual Report of the Faculty of Education Gifu University (Teacher Education and Educational Research)   19 21-30   2017   [Refereed]
Parabolic cohomology groups and periods of cusp forms
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   41 1-17   2017   [Refereed]
On G.C.D. and L.C.M. in any integral domain
Kazuyuki HATADA
Science Report of the Faculty of Education, Gifu University (Natural Science)   41 19-26   2017   [Refereed]
MR3467388 [Review of L. Alpoge, N. Amersi, G. Iyer, G. Lazarev, S. Miller and L. Zhang's paper `Maass wave forms and low-lying zeros', In: Analytic Number Theory, Springer, Chan, pp. 19-55, 2015]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (November) 31-33   Nov 2016   [Refereed][Invited]
MR3425204 [Review of C. Frank and G. Mason's paper `Three dimensional imprimitive representations of the modular group and their associated modular forms', Journal of Number Theory, Vol. 71 (2016), pp. 186-214]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (July) 49-50   Jul 2016   [Refereed][Invited]
MR3357344 [Review of B. Chen and H. Zhou's paper `Note on the problem of Ramanujan's radial limits', Adv. Differential Equ., Vol. 2014, 2014:191, (2014), 11pp]
Kazuyuki HATADA
(March) 55-56   Mar 2016   [Refereed][Invited]
Inequalities on convex functions and means
Kazuyuki HATADA; Kazuma MUKAIDA
Annual Report of the Faculty of Education, Gifu University (Educaional Research)   18 23-34   2016   [Refereed]
Mappings between finite sets
Kazuyuki HATADA
Annual Report of Faculty of Educaation, Gifu University (Educational Research)   18 35-39   2016   [Refereed]
MR3306557 [Review of V. Paskunas' paper `On the Breuil-Mezard Conjecture`, Duke Math. J., Vol. 164, No. 2, (2015), pp. 297-359]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (October) 61-62   Oct 2015   [Refereed][Invited]
MR3267346 [Review of Y. Manin's paper `Non-Commutative Generalized Dedekind Symbols`, Pure and Applied Mathematics Quaterly, Vol. 10, No. 2, (2014), pp. 245-258]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (June) 52-54   Jun 2015   [Refereed][Invited]
MR3244942 [Review of P. Tian's paper `Computations of Galois representations associated to modular forms of level one', Acta Arith., Vol. 164, No. 4, (2014), pp. 399-412]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   (April) 51-52   Apr 2015   [Refereed][Invited]
MR3104940 [Review of C. Citro and A. Ghitza's paper `Computing level one Hecke eigensystems (mod p)', LMS J. Comput. Math., Vol. 16, (2013), pp. 246-270]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (January) 40-41   Jan 2015   [Refereed][Invited]
Trianguration of any polygon
Kazuyuki HATADA
Science Reports of the Faculty of Education, Gifu University (Natural Science)   39 1-8   2015   [Refereed]
On inequalities of rearrangements
Kazuyuki HATADA
Science Reports of the Faculty of Education, Gifu University (Natural Science)   39 9-12   2015   [Refereed]
MR3175141 [Review of E. Hofmann's paper `Borcherds products on unitary groups', Math. Ann., Vol. 358, (2014), pp. 799-832]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (November) 53-54   Nov 2014   [Refereed][Invited]
MR3127902 [Review of T. Ogasawara's paper 'Octahedral newforms of weight one associated to three-division points of elliptic curves', Funct. Approx. Comment. Math., Vol. 49, no. 1, (2013), pp. 103-109]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (June) 31-32   Jun 2014   [Refereed][Invited]
MR3051246 [Review of N. Imai's paper `Dimensions of moduli spaces of finite flat models', Adv. Stud. Pure Math., Vol. 63, Math. Soc. Japan, Tokyo, (2012), pp. 251-262]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (April) 58-59   Apr 2014   [Refereed][Invited]
MR3043498 [Review of S. Baier and L. Zhao's paper `On Hecke eigenvalues at primes of the form [g(n)]', Acta Arith., Vol. 158 (2013), no. 4, pp. 341-357]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (January) 28-29   Jan 2014   [Refereed][Invited]
Examples of applications of Popoviciu's inequality
Taisuke FUJIWARA and Kazuyuki HATADA
Annual Report of the Faculty of Education, Gifu University (Educaional Research)   16 1-8   2014   [Refereed]
MR3038785 [Review of X. Guitart and M. Masdeu's paper `Computation of ATR Darmon points on nongeometrically modular elliptic curves', Exp. Math. Vol. 22 (2013), no. 1, pp. 85-98]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (October) 75-75   Oct 2013   [Refereed][Invited]
MR3010051 [Review of D. Munshi's paper `Bounds for twisted symmetric square L-functions - III', Adv. Math., Vol. 235 (2013), pp. 74-91]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (October) 53-53   Oct 2013   [Refereed][Invited]
MR2931665 [Review of C. Virdoll's paper `Base change and the Birch and Swinnerton-Dyer conjecture', Funct. Approx. Comment. Math., Vol. 46 (2012), part 2, pp. 189-194]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (May) 41-41   May 2013   [Refereed][Invited]
MR2951499 [Review of D. Choi, Y.-J. Choie and O. V. Richter's paper `Congruences for Siegel modular forms', Ann. Inst. Fourier (Grenoble), Vol. 61, pp.1455-1466, 2012]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   (February) 32-33   Feb 2013   [Refereed][Invited]
Integral sequences of infinite length whose terms are relatively prime
Kazuyuki HATADA
Advances in Pure Mathematics   3(1) 24-28   2013   [Refereed]
Properties of any vector space
Kazuyuki HATADA
Annual Report of the Faculty of Education, Gifu University (Educational Research)   15 13-19   2013   [Refereed]
Deriving the Newton equation of motion from the energy conservation equation
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   61(2) 261-271   2013   [Refereed]
On Euler's inequality Tex for any triangle
Kazuyuki HATADA
Science Reports of the Faculty of Education, Gifu University   38(2) 261-271   2013   [Refereed]
MR2865819 (2012m: 11060) [Review of A. Raghuram and N. Tanabe's paper `Notes on the arithmetic of Hilbert modular forms', J. Ramanujan Math. Soc., Vol. 26, pp. 261-319]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2012m(11060) 13 in 11 Number Theory-14 in 11 Number Theory   2012   [Refereed][Invited]
MR2835804 (2012j: 11113) [Review of G. Djankovic's paper `nonvanishing of the family of Tex-automorphic L-functions at the cenral point', Int. J. Number Theory, Vol. 7, pp. 1423-1439, 2011]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2012j(11113) 20 in 11 Number Theory-20 in 11 Number Theory   2012   [Refereed][Invited]
MR2802455 (2012g: 32035) [Review of A. Ghanmi's paper `A characterization of planer mixed automorphic forms', Int. J. Math. Math. Sci., Art ID 239807, 9 pp., 2011]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2012g(32035) 56 in 11 Number Theory-56 in 11 Number Theory   2012   [Refereed][Invited]
MR2776019 (2012d: 11104) [Review of X. Li's paper `A weighted Weyl law for the modular surface', Int. J. Number Theory, Vol. 7, pp. 241-248, 2011]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2012d(11104) 22 in 11 Number Theory-22 in 11 Number Theory   2012   [Refereed][Invited]
MR2745546 (2012b: 11084) [Review of A. Ash, P. Gunnels and M. McConnell's paper `Torsion in the cohomology of congruence subgroups of SL(4,Tex) and Galois representations', J. Algebra, Vol. 325, pp. 404-415, 2011]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2012b(11084) 16 in 11 Number Theory-17 in 11 Number Theory   2012   [Refereed][Invited]
MR2718835 (2011j: 11085) [Review of H. W. Lu and H. G. Zhou's paper `A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup', Sci. China Math. Vol. 53, pp. 2405-2410, 2010]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2011j(11085) 15 in 11 Number Theory-15 in 11 Number Theory   2011   [Refereed][Invited]
MR2660677 (2011g: 11095) [Review of R. Sreekantan's paper `Tex of products of Drinfeld's modular curves and special values of L-functions', Compos. Math. Vol. 146, pp. 886-918, 2010]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2011g(11095) 19 in 11 Number Theory-19 in 11 Number Theory   2011   [Refereed][Invited]
MR2643894 (2011e: 11087) [Review of R. Raghunathan's paper `On L functions with poles satisfying Maass's functional equation', J. Number Theory, Vol. 130, pp. 1255-1273, 2010]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2011e(11087) 17 in 11 Number Theory-17 in 11 Number Theory   2011   [Refereed][Invited]
MR2564466 (2011c: 11080) [Review of A. Andrianov's paper `Intersection sums and action of Hecke operators on theta-series', Acta Arith. Vol. 140, pp. 271-304, 2009]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2011c(11080) 15 in 11 Number Theory-16 in 11 Number Theory   2011   [Refereed][Invited]
Functions of degree 1
Kazuyuki HATADA
Science Reports of the Faculty of Education, Gifu University   13 9-15   2011   [Refereed]
Limits of recursive sequences of means for several numbers
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   49(1) 1-6   2011   [Refereed]
Limits of recursive sequences of means for several numbers II
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   59(2) 221-230   2011   [Refereed]
MR2538562 [Review of C. Virdol's paper `On the Birch and Swinnerton-Dyer conjecture for elliptic curves over totally real number fields' In: Proc. Amer. Math. Soc. Vol. 137, No. 12, pp. 4019-4024 (2009)]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2010j(11107) 26 in 11 Number Theory-26 in 11 Number Theory   2010   [Refereed][Invited]
MR2493965 [Review of R. Schulze-Pillot's paper `Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda', Osaka J. Math. Vol. 45 (2008), pp. 965-971]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2010a(11083) 18 in 11 Number Theory-18 in 11 Number Theory   2010   [Refereed][Invited]
Isochronism of the cycloidal pendulum II
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   37(1) 97-103   2010   [Refereed]
Extension of Markov Equation
Kazhide Kojima; Kazuyuki HATADA
Science Reports of the Faculty of Education, Gifu University (Natural Science)   34 11-25   2010   [Refereed]
Rational equations given by certain determinants of degree 3
Kazhide Kojima; Kazuyuki HATADA
Annual Report of Faculty of Educaation, Gifu University (Educational Research)   12 29-41   2010   [Refereed]
Markov equation of n variables
Kazhide Kojima; Kazuyuki HATADA
Annual Report of Faculty of Educaation, Gifu University (Educational Research)   12 43-45   2010   [Refereed]
MR2465638 [Review of T. Kikuta and S. Nagaoka's paper `Congruence properties of Hermitian modular forms', Proc. Amer. Math. Soc. Vol. 137 (2009), pp. 1179-1184]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2009k(11080) 17 in 11 Number Theory-18 in 11 Number Theory   2009   [Refereed][Invited]
MR2370176 [Review of H. Yoshida's paper `Absolute CM periods' (Japanese), Sugaku, Vol. 59 (2007), pp. 380-398]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2009g(11073) 17 in 11 Number Theory-17 in 11 Number Theory   2009   [Refereed][Invited]
MR2364839 [Review of Y.-K. Lau, J. Liu and Y. Ye's paper `Shifted convolution sums of Fourier coefficients of cusp forms', In: Number Theory, 108-135, Se. Number Theory Appl., 2, World Sci. Publl., Hackensack, NJ, 2007]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2009b(11078) 16 in 11 Number Theorry-16 in 11 Number Theory   2009   [Refereed][Invited]
The source of the rational numbers Tex and rings of fractions Tex
Kazuyuki HATADA
JP Journals of Algebra, Number Theory and Applications   14(1) 97-119   2009   [Refereed]
Examples of Rational Algebraic varieties
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University, Educational Research   11 66-72   2009   [Refereed]
Theorems for the n-dimensional simplex which are generalizations of Ceva's theorem on the triangle
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   33 9-15   2009   [Refereed]
Simple proofs of the formulas of roots of algebraic equations of degrees 4 and 3
Kazuyuki HATADA
Far East Journal of Mathematical Educatin   3(2) 195-201   2009   [Refereed]
MR2398190 [Review of S. Ahlgren's paper `On the irreducibilty of Hecke polynomials', In: Math. Comp. vol. 17 (2008), pp.1725-1731]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2009c(11060) 13 in 11 Number Theory-13 in 11 Number Theory   2009   [Refereed][Invited]
Teaching how to solve certain Diophantine equations
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University (Educational Research)   10 1-3   2008   [Refereed]
Generalization of Ceva's theorem to the n-dimensional simplex
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   32 9-12   2008   [Refereed]
MR2285994 [Review of Y. Qin's paper `An integral representation of standard utomorphic L functions for unitary groups', In: Int. J. Math. Sci. (2007), Art. ID 64284, 22pp.]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2008c(11078) 17 in 11 Number Theory-17 in 11 Number Theory   2008   [Refereed][Invited]
MR2313219 [Review of A. Laurincikas' paper `The joint universality for periodic Hurwitz zeta-functions', In: Analysis (Munich) 26 (2006), no. 3, pp. 419-428]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2008e(11105) 26 in 11 Number Theory-26 in 11 Number Theory   2008   [Refereed][Invited]
MR2336122 [Review of G. Molteni and J. Steuding's paper `(Almost) Primitivity Hecke L functions', In: Monatsh. Math. 152 (2007), no. 1, pp. 63-71]
Kazuyuki HATADA
Matematica Revies Sections Set 1D (Section 11)   2008i(11068) 14 in 11 Number Theory-14 in 11 Number Theory   2008   [Refereed][Invited]
Several parentheses in mathematical expressions
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University (Educational Research)   9 25-27   2007   [Refereed]
Discriminants of polynomials of degree 4
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University (Educational Research)   9 21-24   2007   [Refereed]
Generalization of Ceva's theorem on the triangle to the tetrahedron
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   31 7-9   2007   [Refereed]
MR2233713 [Review of D. Goldfeld and X. Li's paper `Voronoi Formulas on GL(n)', In: Int. Math. Res. Not. (2006), Art ID 86295, 25pp.]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2007f(11052) 10 in 11 Number Theory-11 in 11 Number Theory   2007   [Refereed][Invited]
MR2261024 [Review of R. Garunkstis and J. Steuding's paper `On the distribution of zeros of the Hurwits zeta function', In: Math. Comp. 76 (2007), no. 257, pp. 323-337 (electroonic)]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2007j(11112) 23 in 11 Number Thery-23 in 11 Number Theory   2007   [Refereed][Invited]
How to treat Proofs, Theorems and Axioms in teaching Mathematics to sudents and pupils
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University (Educational Research)   8 35-37   2006   [Refereed]
Orthocenters of n dimensional simplexes
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   30 7-8   2006   [Refereed]
Isochronism of the cycloidal pendulum
Kazuyuki HATADA
Far East Journal of Mathematical Sciences   20(1) 87-91   2006   [Refereed]
MR2170140 [Review of L. Wenzhi's paper `On zeros of the derivative of the Selberg zeta function', In: Amer. J. Math. 127 (2005), pp. 1141-1151]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2006e(11132) 30 in 11 Number Theory-30 in 11 Number Theory   2006   [Refereed][Invited]
MR 2196559: [Review of C. Mehmet and C. Munmun's paper `q-analogue of the Lerch zeta function', In: Proceedings of the 16th Internatinal Conference of the Jangjeon Mathematical Society, Jangjeon Math. Soc., Hapcheon, 2005, pp. 34-40]]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2006m(11134) 30 in 11 Number Theoy-30 in 11 Number Theory   2006   [Refereed][Invited]
Elementary method for solving any algebraic equation of degree 4
Kazuyuki HATADA
Annual Report of the Faculty of Education Gifu University (Educational Research)   7 65-68   2005   [Refereed]
Logical structure of the whole of Mathematics
Kazuyuki HATADA
Heisei 16 nenndo suugaku kyouiku kennkyuu (Gifuken Koutougakkou Kyouikukennkyuukai Suugakubukai)   111-112   2005   [Refereed][Invited]
MR2027782 [Review of D. Wan's paper `Rationality of partial zeta functions`, In: Indag. Math. (N. S.), Vol. 14, no. 2, (2003), pp. 285-292]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2005b(14040) 46 in 14 Algebraic Geometry-46 in 14 Algebraic Geometry   2005   [Refereed][Invited]
MR2105990 [Review of A. Murase and T. Sugano's article `Automorphic forms on third order unitary groups', In: Sugaku 56 (2004), pp. 366-379]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2005k(11096) 20 in 11 Number Theory-20 in 11 Number Theory   2005   [Refereed][Invited]
Generalization of certain inequality for the triangle
Kazuyuki HATADDA
Science Reports of the Faculty of Education Gifu University (Natural Science)   28(2) 89-92   2004   [Refereed]
How to teach people that product of arbitrary 2 negative numbers must be positive
Kazuyuki HATADA, Yugo HORI
Reports of curricurum research center of Gifu University   21(2) 39-50   2002   [Refereed]
MR1865978 [Review of W. Luo's paper `Nonvanishing of L-values and the Weyl Law), Annals of Math. (2), Vol. 154 (2001), no. 2, pp. 477-502]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2002i(11084) 18 in 11 Number Theory-18 in 11 Number Theory   2002   [Refereed][Invited]
MR1724362 [Review of T. Hiramatsu's book `Introduction to Reciprocity Law for students in Number Theory' (in Japanese), Makino, Tokyo, 1998]
Kazuyuki HATADA
Mathematical Reviews Sections Set 1D (Section 11)   2001f(11004) 2 in 11 Number Theory-3 in 11 Number Theory   2001   [Refereed][Invited]
Kazuyuki HATADA
Journal of Number Theory (Academic Press)   87(1) 1-14   2001   [Refereed]
Takarakuji wo Riyoushita Kyouzaikaihatu to Sono Jissenn ni tuite
Yugo HORI, Kazuyuki HATADA, Goro CHUMAN
Reports of curricurum research center of Gifu University   20(2) 30-43   2001   [Refereed]
p-Adic Properties of Sequences of Averages
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   26(1) 13-22   2001   [Refereed]
MR1760688 [Review of J. L. Vanderkam's paper `Linear independence of Hecke operators in the homology of Tex', J. London Math. Soc. (2), Vol. 61 (2000), no. 2, pp. 349-358]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2001e(11045) 8 in 11 Number Theory-9 in 11 Number theory   2001   [Refereed][Invited]
On the Limits of p-Adic Sequences of Averages
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   24(2) 7-13   2000   [Refereed]
MR1478151 [Review of T. Suzuki's paper `Classical theta functions and distinguished representations of metaplectic groups (in Japanese)', Sugaku, Vol. 49 (1997), no. 1, pp. 48-61]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2000c(11071) 11 in 11 Number Theory-12 in 11 Number Theory   2000   [Refereed][Invited]
MR1717645 [Review of V. Gritsenko and K. Hulek's paper `Modular form of the Barter-Nieto quintic', Internat. Math. Res. Notices (1999), no. 17, pp. 915-937]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   2000k(14029) 11 in 14 Algebraic Geometry-11 in 14 Algebraic Geometry   2000   [Refereed][Invited]
MR1604056 [Review of C. Hamer's paper `A formula for the Hecke operators on certain spaces of new forms', Arch. Math. (Basel), Vol. 70 (1998), no. 3, pp. 204-210]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   99b(11045) 10 in 11 Number Theory-10 in 11 Number Theory   1999   [Refereed][Invited]
MR1607981 [Review of V. Gritsenko and H. Hulek's paper `Minimal Siegel modular threefolds', Math. Proc, Cambridge Philos. Soc., Vol. 123 (1998), no. 3, pp. 461-485]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   99c(14048) 24 in Algebraic Geometry-24 in Algebraic Geometry   1999   [Refereed][Invited]
A note on modular forms (mod p)
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   22(2) 7-12   1998   [Refereed]
MR1469537 [Review of K. Matsumoto's paper `The value distribution of zeta functions associated with primitive cusp forms', Kokyuroku of Institute of Mathematical Analysis Kyoto University, Vol. 961 (1996), pp. 36-52]
Kazuyuki HATADA
Mathematical Reviews, Sections Set 1D (Section 11)   98h(11111) 23-2411   1998   [Refereed][Invited]
On P - adic convergent power series of several variables.
Kazuyuki HATADA
Science Reports of the Faculty of Education Gifu University (Natural Science)   21(2) 21-31   1997   [Refereed]
MR1386922 [Review of A. Adolphson and S. Sperber's paper `On the zeta function of complete intersection', Annals Scientifiques de L'Ecole Normale Superieure (4), Tome 29 (1996), pp. 287-328]
Kazuyuki HATADA
Mathematical Reviews   97f(14021) 3484-3484   1997   [Refereed][Invited]
Estimates for eigenvalues of Hecke operators on Siegel cusp forms
Kazuyuki HATADA
Journal fur die Reine und Angewandte Mathematik   480 105-123   1996   [Refereed]
Hecke correspondences and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension =< 3
Kazuyuki HATADA
Proceedings of the Japan Academy   72A(8) 189-193   1996   [Refereed]
MR1316830 [Review of L. Merel's paper `Hecke operators and subgroups of Tex', Journal of Number Theory, Vol. 50 (1995), pp. 345-362]
Kazuyuki HATADA
Mathematical Reviews   96a(11042) 63-63   1996   [Refereed][Invited]
MR1339122 [Review of Wen Zhi Luo's paper `Zeeros of Hecke L-functions associated with cusp forms', Acta Arithmetica, Vol. 71 (1995), pp. 139-158]
Kazuyuki HATADA
Mathematical Reviews   96f(11072) 3298-3298   1996   [Refereed][Invited]
MR1353940 [Review of F. Rodriguez Villegas and D. Zagier's paper `Which primes are sums of cubes?', In: Number Theory (Haifax NS, 1994) CMS Conference Proceedings, Vol. 15, pp. 295-306, The American Mathematical Society, Providence, RI, USA, 1995]
Kazuyuki HATADA
Mathematical Reviews   96g(11049) 3956-3956   1996   [Refereed][Invited]

Books etc

 
Homology groups, differential forms and Hecke rings on Siegel modular varieties
Kazuyuki HATADA
In the volume"Topics in Mathematical Analysis" (edited by Th. Rassias), World Scientific Pub., pp.371-409   1989   
This is a refereed paper.
This is an invited paper.
This book is dedicated to the memory of
A. L. Cauchy.
On the reason why the product of two negative integers must be positive.
Kazuyuki HATADA
In the volume "Geometry, Analysis and Mechanics" (edited by J. M. Rassias) World Scientific Pub., pp.113-120   1994   
This is a refereed paper.
This book is dedicated to
Archimedes on his 2281st birthday.
Problems on the n dimensional simplex.
In the volume "Geometry, Analysis and Mechanics" (edited by J. M. Rassias) World Scientific Pub., pp.109-112   1994   
This is a refereed paper.
This book is dedicated to
Archimedes on his 2281st birthday.
Guide for 100 books on Mathematics
Kazuyuki HATADA (Part:Joint Work, Review of [T. Adati' book: `A way to Class Field Theory' (in Japanese), Nihon-Hyouronn-sha, Tokyo, 1998] (in Japanese), pp. 188-189)
Baihukan   1984   

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 1998 - 1999    Investigator(s): Kazuyuki HATADA
1. Kazuyuki Hatada's studies: (1) Let g be any integer【greater than or equal】2. Hatada has obtained that there exist infinitely many Siegel cusp eigenforms of degree g which satisfy the Ramanujan Conjecture and that any of them has a Galois repres...
Study on Number Theory, Modular Forms and Arithmetic Schemes
Ordinary Research
Project Year: 1973   
Study on zeta and L functions
Ordinary Research
Project Year: 1973   
Study on p-adic properties of arithmetic functions
Ordinary Research
Project Year: 1973   
Modular Forms and Number Theory