Analytic number theory and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 29--December 3, 1999 (Q2756608)

The articles of this volume will not be indexed individually.NEWLINENEWLINENEWLINE Contents: Shigeki Egami, Asymptotic expansions for sums of triple zeta functions (Japanese) (1-6); Makoto Nagata, Recent results on \(G\)-functions (Japanese) (7-12); Masaaki Amou and Masanori Katsurada, On the values of certain \(q\)-hypergeometric series (Japanese) (13-18); Yuichi Kamiya, Certain mean value theorems and non-vanishing theorems for \(L\)-functions associated with automorphic forms (Japanese) (19-24); Hideaki Ishikawa, On a sum related to a multiple \(L\)-function (Japanese) (25-31); T. P. Peneva, On the exceptional set in Goldbach's problem (32-39); Jun-ichi Tamura, Certain word and tiling of high dimension, and a \(p\)-adic phenomenon (40-60); Yoshiyuki Kitaoka, The distribution of the units of real quadratic fields (Japanese) (61-65); Chaohua Jia, The application of the combination of circle method and sieve method (66-72); Shin-ichi Yasutomi, Dynamical representations of substituted Sturmian sequences (73-79); Isao Wakabayashi, On a family of cubic Thue inequalities (Japanese) (80-85).NEWLINENEWLINENEWLINEHiroshi Mikawa, Least primes in arithmetic progressions (Japanese) (86-93); Kazuo Goto and Yukio Ohkubo, Discrepancy of some special sequences (94-101); Masami Yoshimoto, Two examples of zeta-regularization (102-109); Yumiko Ichihara, The evaluation of the sum over arithmetic progressions for the coefficients of the Rankin-Selberg series (Japanese) (110-118); Hidehiko Mishou, Universality of \(L\)-functions that have characters of ideal class groups (Japanese) (119-125); Jörg Brüdern, Binary additive problems, multiplicative sequences, and the Bateman-Horn conjecture (126-131); Kumiko Nishioka, A vanishing theorem for Mahler functions (132-139); Wenpeng Zhang and Yuan Yi, On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums (140-148); A. Sankaranarayanan, The role of exponential sums in number theory (149-154); Takao Komatsu , On inhomogeneous Diophantine approximation and the Borweins' algorithm (Japanese) (155-162); Ryotaro Okazaki, On a gap principle for exponential Diophantine equations (163-168).NEWLINENEWLINENEWLINENaoki Murabayashi and Atsuki Umegaki, Determination of all \(\mathbb{Q}\)-rational CM-points in the moduli space of principally polarized Abelian surfaces (Japanese) (169-176); Takeshi Kano, Characteristics of Iwaniec's \(q\)-function (Japanese) (177-185); Yuki Sano and Shunji Ito, On periodic \(\beta\)-expansions of Pisot numbers and Rauzy fractals (Japanese) (186-193); Takeshi Toshimitsu, Algebraic solutions of a certain type of functional equations (Japanese) (194-201); Hiroshi Kumagai, On rapidly convergent series expressions for zeta- and \(L\)-values (202-209); Stéphane Louboutin, Explicit upper bounds for residues of Dedekind zeta functions and values of \(L\)-functions at \(s=1\), and explicit lower bounds for relative class numbers of CM-fields (abridged version) (210-219); Koichi Kawada, Topics in Waring's problem for fourth powers. II (Japanese) (220-228); Nobuhiro Terai, On the Diophantine equations on binomial coefficients (229-236); Shigeki Akiyama, On tiling through 2-dimensional normal number systems (Japanese) (237-245); Takashi Harase, Algebraicity and rationality of formal power series over \(\mathbb{F}_q\) (246-250); Takeshi Hibino and Makiko Kan, \(\theta\)-congruent numbers and modular parametrizations (Japanese) (251-258); Kohji Matsumoto, Analytic continuation and asymptotic expansion for multiple zeta functions (Japanese) (259-270).