Analytic Number Theory

Abstract

Preface. 1. On analytic continuation of multiple L-functions and related zeta-functions S. Akiyama, H. Ishikawa. 2. On the values of certain q-hypergeometric series II M. Amou, et al. 3. The class number one problem for some non-normal sextic CM-fields G. Boutteaux, S. Louboutin. 4. Ternary problems in additive prime number theory J. Brudern, K. Kawada. 5. A generalization of E. Lehmer's congruence and its applications Tianxin Cai. 6. On Chen's theorem Cai Yingchun, Lu Minggao. 7. On a twisted power mean of L(1,chi) S. Egami. 8. On the pair correlation of the zeros of the Riemann zeta function A. Fujii. 9. Discrepancy of some special sequences K. Goto, Y. Ohkubo. 10. Pade approximation to the logarithmic derivative of the Gauss hypergeometric function M. Hata, M. Huttner. 11. The evaluation of the sum over arithmetic progressions for the co-efficients of the Rankin-Selberg series II Y. Ichihara. 12. Substitutions, atomic surfaces, and periodic beta expansions S. Ito, Y. Sano. 13. The largest prime factor of integers in the short interval Chaohua Jia. 14. A general divisor problem in Landau's framework S. Kanemitsu, A. Sankaranarayanan. 15. On inhomogeneous Diophantine approximation and the Borweins' algorithm, II T. Komatsu. 16. Asymptotic expansions of double gamma-functions and related remarks K. Matsumoto. 17. A note on a certain average of L(1/2 + it, chi) L. Murata. 18. On covering equivalence Zhi-Wei Sun.19. Certain words, tilings, their non-periodicity, and substitutions of high dimension J. Tamura. 20. Determination of all Q-rational CM-points in moduli spaces of polarized abelian surfaces A. Umegaki. 21. On families of cubic Thue equations I. Wakabayashi. 22. Two examples of zeta-regularization M. Yoshimoto. 23. A hybrid mean value formula of Dedekind sums and Hurwitz zeta-functions Zhang Wenpeng.