Diophantine Analysis and Related Fields 2012
Dates: From Monday 9 January to Tuesday 10 January, 2012;
Venue: Satellite Campus
"Tokimeito,
" Niigata University, Niigata, Japan;
Room: Conference Room A, 1st Floor, Satellite Campus, Niigata University.
Organizers:
Shigeki AKIYAMA (Niigata Univ.) akiyama(+at)math.sc.niigata-u.ac.jp;
Masaaki AMOU (Gunma Univ.) amou(+at)math.sci.gunma-u.ac.jp;
Masanori KATSURADA (Keio Univ.) katsurad(+at)hc.cc.keio.ac.jp;
Ryotaro OKAZAKI (Doshisha Univ.) rokazaki(+at)mail.doshisha.ac.jp
Supported in part by Japan Society for the Promotion of Science (Grant-in-Aid for Scientifc Research, Nos. 21540006; 21540010; 22540005; L-11514; S-11021), and by Keio Gijyuku Academic Development Funds.
Programme (Abstract)
Monday 9 January:
9:05-9:10 Opening;
9:10-9:30 Takao Komatsu (Hirosaki Univ.)
Poly-Cauchy numbers and Riordan arrays;
9:30-9:50 Takao Komatsu and Mari Yokohama (Hirosaki Univ.)
A generalization of poly-Cauchy numbers;
10:00-10:40 Noriko Hirata-Kohno (Nihon Univ.)
Arithmetic properties of p-adic elliptic polylogarithmic functions;
11:00-11:50 Yuri V. Nesterenko (Moscow State Univ.)
Some identities of Ramanujan type;
11:50-14:00 Lunch break
14:00-14:30 Hajime Kaneko (Nihon Univ.)
Algebraic independence of the special values of power series and those derivatives;
14:40-15:20 Koichiro Akiyama (Toshiba Corp.)
Public key cryptosystem based on the diophantine problems on Fp[t];
15:40-16:20 Yu Yasufuku (Nihon Univ.)
Finiteness of integers in orbits of maps on Pn;
16:30-17:00 Takehiro Hasegawa (Kogakuin Univ.)
A polynomial with Franel numbers as coefficients and its application to modular curves.
17:30-19:30 Reception party.
Tuesday 10 January:
9:00-9:30 Takeshi Kurosawa (Tokyo Univ. Sci.)
Algebraic dependence of infinite products related with Fibonacci and Lucas numbers;
9:30-9:50 Yohei Tachiya (Hirosaki Univ.)
Algebraic independence of infinite products generated by distinct binary recurrences;
10:00-10:40 Florian Luca (Inst. de Mat., UNAM)
Balancing with powers of Fibonacci numbers;
11:00-11:50 Attila Pethö (Univ. Debrecen) and Michael E. Pohst
On the indices of multiquadratic number fields;
11:50-14:00 Lunch break
14:00-14:40 Isao Wakabayashi (Tokyo)
Number of solutions for quartic simple Thue equations;
15:00-15:30 Yasutsugu Fujita (Nihon Univ.) and Nobuhiro Terai (Ashikaga Inst. Tech.)
Generators and integer points on the elliptic curve y2=x3−nx;
15:40-16:10 Taka-aki Tanaka (Keio Univ.)
Algebraic independence of the values of Mahler functions with `negative' transformations;
16:10-16:15 Closing.