KATAYAMA Shin-ichi

J-GLOBAL         Last updated: Nov 15, 2018 at 10:12
 
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Name
KATAYAMA Shin-ichi
Affiliation
The University of Tokushima
Section
Faculty of Integrated Arts and Sciences
Job title
Professor
Degree
Docter of Science(Kyoto University)

Research Interests

 
 

Research Areas

 
 

Education

 
 
 - 
1985
Graduate School, Division of Natural Science, Kyoto University
 
 
 - 
1979
Faculty of Science, Kyoto University
 

Published Papers

 
The abc conjecture and square free part of Fibonacci numbers
KATAYAMA Shin-ichi
Journal of Mathematics, Tokushima University   51 5-28   Dec 2017
Hypothesis of Schinzel and Sierpinski and Cyclotomic Fields with Isomorphic Galois Groups
KATAYAMA Shin-ichi
Journal of Mathematics, Tokushima University   50 43-47   Dec 2016   [Refereed]
KATAYAMA Shin-ichi
Journal of Number Theory   158 348-355   2016   [Refereed]
Products of Arithmetic Progressions which are Squares
KATAYAMA Shin-ichi
Journal of Mathematics, The University of Tokushima   49 9-12   Dec 2015
Diophantine Equations and Hilbert's Theorem90
KATAYAMA Shin-ichi
Journal of Mathematics, The University of Tokushima   48 37-42   Dec 2014
Modified Farey trees and Pythagorean triples
KATAYAMA Shin-ichi
Journal of Mathematics, The University of Tokushima   47 1-13   Dec 2013
Scissors congruence for certain k-polygons
KATAYAMA Shin-ichi
Journal of Mathematics, The University of Tokushima   46 1-12   Dec 2012
Katayama Shin-ichi
Journal of mathematics, the University of Tokushima   46 1-12   2012
Generalized Goggins's formula for Lucas and companion Lucas sequences
KATAYAMA Shin-ichi
45 19-25   Dec 2011
Katayama Shin-ichi
Journal of mathematics, the University of Tokushima   45 19-25   2011
On partitions and k-polygons
Takuya Doi and Shin-ichi Katayama
Journal of Mathematics, the University of Tokushima   44 13-25   Dec 2010
Doi Takuya, Katayama Shin-ichi
Journal of mathematics, the University of Tokushima   44 13-25   2010
A variation of Takagi's proof for quadratic reciprocity laws for Jacobi symbols
Arata Doi and Shin-ichi Katayama
Journal of Mathematics, the University of Tokushima   43 9-23   2009
A remark on partitions and triangles
Takuya Doi and Shin-ichi Katayama
Journal of mathematics, the University of Tokushima   43 1-7   2009
Orbit of quadratic irrationals modulo p by the modular group
KATAYAMA Shin-ichi
Journal of Research   25(1) 1-5   2009   [Refereed]
On some formula for π/2
Shin-ichi Katayama
Journal of Mathematics, The University of Tokushima   42 13-17   2008
Some infinite series of Fibonacci numbers
Shin-ichi Katayama
Journal of mathematics, The University of Tokushima   42 9-12   2008
Shin-ichi Katayama and Yasuhiro Kishi
Tsinghua Science and Technology   12(4) 475-478   2007   [Refereed]
On finite simple groups of cube order
Shin-ichi Katayama
Journal of mathematics, The University of Tokushima   41 25-31   2007
On the diophantine equations (x^2+1)(y^2+1)=(z^2+1)^2
Shin-ichi Katayama
Journal of Mathematics, the University of Tokushima   40 9-14   2006

Books etc

 
Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems
Furukawa Total Printing   2004   

Conference Activities & Talks

 
On finite simple groups of square order
KATAYAMA Shin-ichi
1078th American Mathematical Society Sectional Meeting   4 Mar 2012   

Research Grants & Projects

 
Units and class numbers of algebraic number fields
Algebraic structure of algebraic number fields
Diophantine equations
Investigator(s): KATAYAMA Shin-ichi