March 5-7, 2015

Kiryu City Performing Arts Center, Kiryu, Japan

Organizers:

Shigeki Akiyama(*Tsukuba Univ.*)

Masaaki Amou (*Gunma Univ.*) amou (at) gunma-u.ac.jp

Ryotaro Okazaki

Masanori Katsurada(*Keio Univ.*)

Takao Komatsu (*Wuhan Univ.*)

Noriko Hirata-Kohno (*Nihon Univ.*)

------------------- CONFERENCE INFORMATION

Dates: | Thursday, March 5th - Saturday, March 7th, 2015 |

Place: | Meeting Room 1, 4th Floor, Kiryu City Performing Arts Center |

2-5 Orihime-cho, Kiryu, Japan |

-------------------
Program, Abstracts

**Thursday 5 March**

13:35-13:40 | Opening |

13:40-14:30 | Takafumi Miyazaki (Nihon Univ.) |

A polynomial-exponential Diophantine equation related to the sum of | |

consecutive k-th powers | |

14:40-15:20 | Tomohiro Ooto (Tsukuba Univ.) |

Quadratic approximation of continued fractions with low complexity | |

in F_{q}((T^{−1})) | |

15:40-16:30 | Takumi Noda (Nihon Univ.) |

Confluent hypergeometric type Ramanujan's formulas | |

16:40-17:30 | Yasutsugu Fujita (Nihon Univ.) |

Bounds for Diophantine quintuples |

**Friday 6 March**

9:30-10:10 | Jonathan Caalim (Tsukuba Univ.) |

Rotational beta expansion:Ergodicity and Soficness | |

10:20-11:10 | Yu Yasufuku (Nihon Univ.) |

Logarithmic Kodaira dimension and Diophantine equations | |

11:20-12:10 | Masanori Katsurada (Keio Univ.) |

Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville | |

transforms of Lerch zeta-functions | |

14:00-14:50 | Hajime Kaneko (Tsukuba Univ.) |

On the beta-expansions of algebraic numbers by a Pisot or Salem | |

number beta | |

15:00-15:40 | Junya Iwaki (Gunma Univ.) |

Linear independence measures for the values of certain Mahler functions | |

16:00-16:40 | Akinari Goto (Keio Univ.),
Takaaki Tanaka (Keio Univ.) |

Algebraic independence of the values of Mahler functions in a certain | |

case of positive characteristic | |

16:50-17:40 | Makoto Kawashima (Osaka Univ.) |

Linear independence of values of certain p-adic functions |

**Saturday 7 March**

9:30-10:20 | Hirofumi Nagoshi (Gunma Univ.) |

The existence of zeros of non-primitive L-functions for SL(2, Z) | |

in the strip 1/2 < ℜs < 1 | |

10:40-11:30 | Takao Komatsu (Wuhan Univ.) |

Associate and restricted Stirling numbers and their applications | |

11:30-11:35 | Closing |