Diophantine Analysis and Related Fields 2008
March 5–7, 2008
Doshisha University, Kyoto, Japan
Organizers:
Ryotaro Okazaki (Doshisha Univ)
Masaaki Amou (Gunma Univ)
Isao Wakabayashi (Seikei Univ)
Noriko Hirata-Kohno (Nihon Univ)
Takao Komatsu (Hirosaki Univ)
Supported by Japan Society for the Promotion of Science (Grant-in-Aid for Scientifc
Research, No.17204007; No.17540048; No.18540006; No.18540012; No.19540053) and by
Fund for the Promotion of International Scientiﬁc Research (B-1).

• Conference information• Conﬁrmed speakers• Program• Proceedings• Local information• Contact• Diophantine Analysis and Related Fields 2007
• Diophantine Analysis and Related Fields 2006——————————————————–

CONFERENCE INFORMATION
Dates:
Place:

Wednesday, March 5th – Friday, March 7th, 2008
Kanbaikan, Conference room A
Muromachi Campus, Doshisha University, Kyoto, Japan
Access: Transportation facilities to Imadegawa Campus, Doshisha University
Access map to Muromachi (Imadegawa) Campus——————————————————–

CONFIRMED SPEAKERS

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Michael Bennett (Univ. British Columbia, Canada)
Yann Bugeaud (Univ. Louis Pasteur, France)
Andrej Dujella (Univ. Zagreb, Croatia)
Yasutsugu Fujita (Tohoku Gakuin)
Yoshinori Hamahata (Tokyo Univ. Science)
Ryūta Hashimoto (Takuma National College Tech.)
Noriko Hirata-Kohno (Nihon Univ.)
Shuzo Izumi (Kinki Univ.)
Hajime Kaneko (Kyoto Univ.)
Masanobu Kaneko (Kyushu Univ.)
Takao Komatsu (Hirosaki Univ.)
Vichian Laohakosol (Kasetsart Univ., Thailand)
Hyunsuk Moon (Kyungpook National Univ., Korea)
Tatsuya Okada (Fukushima Medical Univ.)
Iekata Shiokawa (Keio Univ.)
Yohei Tachiya (Keio Univ.)
Rina Takada (Nihon Univ.)
Taka-aki Tanaka (Keio Univ.)
Gary Walsh (Univ. Ottawa, Canada)——————————————————–PROGRAM
３月５日

水曜日

10:00–10:05 Opening
10:10–11:00 Gary Walsh (Univ. Ottawa)
Recent progress on certain quartic Diophantine equations
11:20–12:00 Hajime Kaneko (Kyoto Univ.)
Fractional parts of powers of quadratic irrational numbers
and odometers

14:00–14:30 Ryuta Hashimoto (Takuma Coll. of Tech.)
Certain integers related to Ankeny-Artin-Chowla conjecture
14:40–15:30 Masanobu Kaneko (Kyushu Univ.)
A note on poly-Bernoulli numbers and multiple zeta values
16:00–16:40 Hyunsuk Moon (Kyungpook National Univ.)
On the ﬁniteness and non-exsistence of certain mod 2
Galois representations of quadratic ﬁelds
16:50–17:20 Yoshinori Hamahata (Tokyo Univ. of Sci.)
Dedekind sums for ﬁnite ﬁelds
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Thursday 6 March
10:00–10:50 Michael Bennett (Univ. British Columbia)
Powers in progression, Chebotarev and Hilbert class polynomials
11:10–12:00 Andrej Dujella (Univ. Zagreb)
Conjectures and results on the size and number of Diophantine tuples

14:00–14:30 Takao Komatsu (Hirosaki Univ.)
Continued fraction expansions of Fibonacci zeta functions
14:40–15:30 Carsten Elsner (Univ. Hannover)Shun Shimomura, Iekata Shiokawa (Keio Univ.)
Algebraic independence of the Fibonacci zeta values
16:00–16:40 Yasutsugu Fujita (Tohoku Gakuin Univ.)
Diophantine quadruples containing some triples and the numberof Diophantine quintuples
16:50–17:40 Takaaki Tanaka (Keio Univ.)
Remarkable algebraic independence property of certain series
related to continued fraction
18:00–20:00 Banquet at Hamac de Paradis, Kanbaikan

Friday 7 March3

10:00–10:50 Yann Bugeaud (Univ. Louis Pasteur)On the many expansions of an algebraic number
11:10–12:00 Vichian Laohakosol, Kantaphon Kuhapatanakul (Kasetsart Univ.)
The irrationality criteria of Brun and Badea are essentiallyequivalent

14:00–14:30 Yohei Tachiya (Keio Univ.)
Pattern sequences in ¡q,r¿-numeration systems
14:40–15:30 Noriko Hirata-Kohno, Rina Takada (Nihon Univ.)
Linear forms in 3 elliptic logarithms
15:50–16:20 Hirotada Ito, Shuzo Izumi (Kinki Univ.)
Diophantine inequality for excellent Henselian local domains
16:30–17:00 Tatsuya Okada (Fukushima Med. Univ.)
Zenji Kobayashi, Takeshi Sekiguchi, Yasunobu Shiota(Tohoku Gakuin Univ.)
On exponential sums of digital sums related to Gelfond’s theorem
17:00–17:05 Closing——————————————————–

LOCAL INFORMATION
There are many varieties of hotels in Kyoto. The organizers do not arrange any speciﬁchotel. Some useful sites to ﬁnd hotels are the following.
Rakuten travel
Hotel Club
iTravel——————————————————–CONTACT
General:Masaaki Amou
amou (at) math.sci.gunma-u.ac.jp
Local:
Ryotaro Okazaki
rokazaki (at) mail.doshisha.ac.jp
Proceedings:
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Takao Komatsu
komatsu (at) cc.hirosaki-u.ac.jp

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