I was a Global COE PD at Department of Mathematics at Kyoto University.
2000, Faculty of Science, Kyoto University
2004, Department of Mathematics at Kyoto University
2009/4-2013/3, GCOE-PD at Department of Mathematics at Kyoto University
2010/10-2012/3, Part-time teacher at Kyoto University(Additional)
2012/8- Part-time teacher at CJLC of Osaka University(Additional)
2013/4-, Part-time teacher at Kyoto Kyoiku University(Additional)
e-mail: y64k at chive.ocn.ne.jp (at should be replaced by @)
twitter: https://twitter.com/tyamada1093
I am interested in easily stated problems in number theory and discrete mathematics. Many of such problems are formulated and discussed by elementary number theory, analytic number theory, combinatorics, graph theory, computability theory and others.
At present, my research interest lies in properties of values of classical arithmetic functions related to divisors of integers, such as σ and φ.
(7/25) Report Problems tex (in Japanese) pdf (in Japanese)
(6/17) Report Problems tex (in Japanese) pdf (in Japanese)
(8/1) Extra exercises tex (in Japanese) pdf (in Japanese) (8/4 revised) tex (in Japanese) pdf (in Japanese) Figures (zip)
(7/28) Term-End Report Problems tex (in Japanese) pdf (in Japanese)
(6/17) Report Problems tex (in Japanese) pdf (in Japanese)
(7/28) Linear mappings between vector spaces tex (in Japanese) pdf (in Japanese)
(7/17) Term-End Report Problems tex (in Japanese) pdf (in Japanese)
(7/17) Sums and intersections of vector spaces tex (in Japanese) pdf (in Japanese)
(6/30) Vector spaces tex (in Japanese) pdf (in Japanese) (Addendum) tex (in Japanese) pdf (in Japanese)
(6/6) Report Problems tex (in Japanese) pdf (in Japanese)
(6/5) Linear transformations in plane and space tex (in Japanese) pdf (in Japanese)
(5/29) Vectors in plane and space tex (in Japanese) pdf (in Japanese)
(8/20) Outline of answers of the examination problems tex (in Japanese) pdf (in Japanese)
(1/18) Calculation of fractions tex (in Japanese) pdf (in Japanese)
See old lecture notes for calculation of natural numbers.
(7/29) The 5-6th lectures tex (in Japanese) pdf (in Japanese)
(7/29) The 4-5th lectures tex (in Japanese) pdf (in Japanese)
(7/22) The third-4th lectures tex (in Japanese) pdf (in Japanese)
(5/27) The second-third lectures tex (in Japanese) pdf (in Japanese)
(5/13) The first-second lectures tex (Unicode, in Japanese) pdf (in Japanese)
(5/7) The first lecture tex (Unicode, in Japanese) pdf (in Japanese)
(5/20) The second-third lecture tex (in Japanese) pdf
The examination was held in July 29. It mainly concerns to convergence and limit of sequences and differentiation of functions.
Here is the homework given in Jul 8, Deadline Apr 5. It concerns to differentiation, integration and convergence of series.
It is not obligatory.
Here is the homework given in May 20, Deadline July 1. It mainly concerns to convergence of real sequences.
It is not obligatory.
The examination was held in January 26. It mainly concerns to linear mappings between vector spaces, the method of least squares and the eigenvalue problem.
A quiz was held in December 8. It mainly concerns to linear independence of vectors.
Proofs of the infinitude of primes (dvi)(1/12/2010, 8/7/2014, 11/12/2018 revised) (pdf) (8/7/2014 pdf updated TeX source(1/12/2010, 8/7/2014, 11/12/2018 revised)
Proofs of the fundamental theorem of arithmetic (dvi) (7/1/2015) Proofs of the fundamental theorem of arithmetic (pdf) (7/1/2015)TeX source (7/1/2015)
An exponential diophantine equation related to odd perfect numbers (at Diophantine Analysis and Related Fields 2018) pdf (3/4/2018) source (3/4/2018)
Three-term Machin-type formulae (at RIMS Workshop 2018 "Analytic Number Theory and Related Topics" , 10/29/2018) (11/12/2018) (pdf) source (zip)
The Mathematical Society of Japan
(2017/4/6 added)The On-Line Encyclopedia of Integer Sequences (OEIS)