in honor of Prof. Iekata SHIOKAWA
| Instructions to the authors of the proceedings. | TeX template |
Conference background and scope:
The conference on Diophantine Analysis and Related Fields 2006 will take place, which is sponsored by Japan Society for the Promotion of Science (Grant-in-Aid for Scientifc Research, Nos.~15540021;~16540038), by Keio University (Academic Research Promotion Funds and Economics Faculty Fund), as well as by Fund for the Promotion of International Scientific Research (Grant B-1, 2005). The conference aims to report recent progress and developments of diophantine aspects of analytic number theory, especially focusing upon the topics in diophantine analysis and related fields; its simultaneous objectives are to promote interactions between analytic number theorists and mathematicians from other fields, and further to create opportunities for opening up new individual/collaborative research projects. The conference will be held in honor of Professor Iekata Shiokawa on the occasion of his retirement from Keio University.
Tuesday 7 March
| 12:55-13:00 | Opening |
| 13:00-14:00 | Igor Shparlinski (Macquarie Univ.), |
| William Banks (Univ. Missouri) | |
| Character sums with Beatty sequences | |
| 14:30-15:10 | Florian Luca (Inst. de Mat. UNAM), |
| On the irrationality of a certain series | |
| 15:30-16:10 | Takaaki Tanaka (Keio Univ.) |
| Algebraic independence of a certain series and its | |
| subseries with subscripts in a geometric progression | |
| 16:40-17:10 | Carsten Elsner (Univ. Hannover) |
| New series transformations for Euler's constant | |
| 17:30-18:00 | Isao Wakabayashi (Seikei Univ.) |
| Cubic Thue equations with automorphisms |
Wednesday 8 March
| 10:00-11:00 | Matthias Beck (San Francisco State Univ.) |
| Dedekind sums: a geometric viewpoint | |
| 11:30-12:30 | Michel Waldschmidt (Univ. Pierre et Marie Curie) |
| Diophantine analysis and words | |
| 14:00-15:00 | Carsten Elsner (Univ. Hannover), |
| Shun Shimomura and Iekata Shiokawa (Keio Univ.) | |
| Explicit algebraic relations for reciprocal sums of even | |
| powers of Fibonacci numbers | |
| 15:30-16:30 | Ryotaro Okazaki (Doshisha Univ.) |
| Numbers of solutions to simultaneous Pell equations of | |
| indefinite signature | |
| 17:00-17:30 | Yuzen Tanaka (Chiba Univ.) |
| Rational approximation of (1+x)a and applications to Thue inequalities | |
| 18:00-20:00 | Reception Party at Faculty Lounge |
| 10:00-11:00 | Douglas Bowman (Northern Illinois Univ.) |
| James McLaughlin (West Chester Univ.) | |
| Limit sets for infinite matrix products and continued fractions | |
| 11:30-12:30 | Yuri Nesterenko (Moscow State Univ.) |
| Algebraic independence in the p-adic domain | |
| 14:00-15:00 | Hitoshi Nakada (Keio Univ.) |
| On the metric theory of continued fractions | |
| 15:30-16:30 | Takao Komatsu (Hirosaki Univ.) |
| More on Hurwitz and Tasoev continued fractions | |
| 17:00-18:00 | Khrystyna Kuchmins'ka (Lviv Polytechnic National Univ.) |
| Multidimensional generalization of continued fractions: | |
| history, main results, new senture problems |
| 10:00-11:00 | Yohei Tachiya (Keio Univ.) |
| Equivalent conditions for the algebraicity of the values of | |
| certain infinite products | |
| 11:15-11:45 | Zenji Kobayashi (Tohoku Gakuin Univ.), |
| Tatsuya Okada (Fukushima Pref. Med. Univ.), | |
| Takeshi Sekiguchi and Yasunobu Shioda (Tohoku Gakuin Univ.) | |
| Applications of measure theory to digital sum problems | |
| 11:55-12:25 | David Adam (Univ. Amiens and Nihon Univ.) |
| On integer-valued functions in positive characteristic | |
| 12:25-12:30 | Closing |
| Mar. 7 (Tue.) | Mar. 8 (Wed.) | Mar. 9 (Th.) | Mar. 10. (Fri.) |
| 10:00-11:00 | 10:00-11:00 | 10:00-11:00 | |
| M. Beck | D. Bowman | Y. Tachiya | |
| 12:55-13:00 | 11:30-12:30 | 11:30-12:30 | 11:15-11:45 |
| Opening | M. Waldschmidt | Y. Nesterenko | Z. Kobayashi |
| 13:00-14:00 | 12:30-14:00 | 12:30-14:00 | 11:55-12:25 |
| I. Shparlinski | Lunch break | Lunch break | D. Adam |
| 14:30-15:10 | 14:00-15:00 | 14:00-15:00 | 12:25-12:30 |
| F. Luca | I. Shiokawa | H. Nakada | Closing |
| 15:30-16:10 | 15:30-16:30 | 15:30-16:30 | |
| Ta. Tanaka | R. Okazaki | T. Komatsu | |
| 16:30-17:10 | 17:00-17:30 | 17:00-18:00 | |
| C. Elsner | Yu. Tanaka | K. Kuchmins'ka | |
| 17:30-18:00 | 18:00-20:00 | ||
| I. Wakabayashi | Reception party | ||