MURATA Leo

J-GLOBAL         Last updated: Nov 12, 2019 at 02:40
 
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Name
MURATA Leo
Affiliation
Meiji Gakuin University
Section
Faculty of Economics, Department of Economics
Degree
Doctor of Science(Tokyo Metropolitan University)

Research Interests

 
 

Research Areas

 
 

Education

 
Apr 1971
 - 
Mar 1975
Department of Mathematics, Faculty of Science, University of Tokyo
 
Apr 1976
 - 
Mar 1982
Graduate School, Division of Natural Science, Tokyo Metropolitan University
 

Committee Memberships

 
2002
 - 
2004
The Mathematical Society of Japan
 

Published Papers

 
Certain codes related to generalized paperfolding sequences.
Yuichi Kamiya
Journal de Theorie des Nombres de Bordeaux   27(1) 149-169   Apr 2015   [Refereed]
We propose a new numeration code C_{b}, and study some properties of the code C_{b}. Among them, We can prove that the difference function of the sum of digits function S_{C_{b}} for C_{b}, {S_{C_{b}}(n)−S_{C_{b}}(n−1)}_{n=1}^{n=∞}, coincides with...
On a Distribution Property of The Residual Order of a (mod pq)
知念 宏司
Annales Univ. Sci. Budapest., Comp.   41 187-211   Jun 2013   [Refereed]

Misc

 
Relations among arithmetical functions, automatic sequences and sum of digits functions indeuced by certain Gray codes.
Yuichi KAMIYA
24(2) 307 - 337   Apr 2012   [Refereed]
この論文の前半では、f(0)=0を満たす数論的関数fの集合のbijectionΦを定義した。この写像によって、2進法から作られるサム・オブ・デジット関数と、u(n)=(-1)^{n-1}で定義される関数が対応する。後半では、この関係を大幅に拡張してある。2進の無限グレイ・コードから作られるサム・オブ・デジット関数と、特殊な条件を満たす数論的関数の集合が、上の写像Φによって対応する。この応用として、2進の無限グレイ・コードから作られるサム・オブ・デジット関数の平均値について、Delangeタ...
On the average of some q-additive functions.
Yuichi Kamiya
Annals Univ. Sci. Budapest., Sect. Comp.   29 39 - 63   Jul 2008   [Refereed]
q-additive function の平均値に関する結果である。H.Delange が Sum of digits-関数の平均値について得た結果を、Mauclaire-Murata が q-additive 関数に対して拡張した。この際についていた「制約条件」の一部を、今回の論文で少し緩めてある。
On a distribution property of the residual order of a (mod p), III.
Koji Chinen
Journal of Mathematical Society of Japan   58(3) 693 - 720   Jul 2006   [Refereed]
On a distribution property of the residual order of a (mod p), IV.
Koji Chinen
"Number Theory : Tradition and Modernization"   11 - 22   Jul 2006   [Refereed]
On a distribution property of a residual order of a (mod p), (2).
Koji Chinen
Proc. of Japan Acad.   80 182 - 186   Jul 2004   [Refereed]

Conference Activities & Talks

 
Relations among arithmetical functions, sum of digits functions and paper-folding sequences.
Yuichi Kamiya
The second mini symposium of the Roman Number Theory Association   26 Apr 2016   Roman Number Theory Association

Association Memberships

 
 

Research Grants & Projects

 
The distribution of primitive roots and estimates of character sum
Project Year: Apr 1999 - Mar 2002
The distribution of residual indices and residual orders, and estimates of character sums.
Project Year: Apr 2002 - Mar 2006
The distribution of residual orders and residual indices in the residual groups with composite moduli.
Project Year: Apr 2006 - Mar 2009
On a relation between arithmetical functions and code theory, the distribution of residual orders.
Project Year: Apr 2009 - Mar 2011