By Siegfried Bocherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato
ISBN-10: 9812566325
ISBN-13: 9789812566324
ISBN-10: 9812774416
ISBN-13: 9789812774415
This quantity includes a precious selection of articles awarded at a convention on Automorphic kinds and Zeta features in reminiscence of Tsuneo Arakawa, an eminent researcher in modular kinds in numerous variables and zeta features. The publication starts with a assessment of his works, by means of sixteen articles via specialists within the fields together with H Aoki, R Berndt, ok Hashimoto, S Hayashida, Y Hironaka, H Katsurada, W Kohnen, A Krieg, A Murase, H Narita, T Oda, B Roberts, R Schmidt, R Schulze-Pillot, N Skoruppa, T Sugano, and D Zagier. numerous themes within the conception of modular kinds and zeta services are coated: Theta sequence and the foundation difficulties, Jacobi types, automorphic varieties on Sp(1, q), double zeta capabilities, exact values of zeta and L-functions, lots of that are heavily on the topic of Arakawa's works. This number of papers illustrates Arakawa's contributions and the present developments in modular kinds in different variables and similar zeta services.
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Additional info for Automorphic Forms And Zeta Functions: Proceedings of the Conference in Memory of Tsuneo Arakawa Rikkyo University, Japan 4-7 September 2004
Example text
Merits and Demerits of the Orbit Method. Bull, of the AMS 36 (1999) 433 - 488. 13. : Lectures on the Orbit Method. GSM Vol. 54, AMS Providence 2004. 14. : Quantization and Unitary Representations, p. 87 - 208 in LN in Math. 170, Springer Berlin 1970. 15. : Quantification geometrique et reduction symplectique. Seminaire Bourbaki 888 (2001). 16. : The Method of Coadjoint Orbits for Real Reductive Groups. P. ), IAS/Park City Math. Series 8 AMS 2000. 17. :The Method of Orbits for Real Lie Groups.
Koyama, M. Nakasuji) 28. Vanishing of certain spaces of elliptic modular forms and some applications. J. Reine Angew. Math. 559 (2003), 25-51. (with S. Bocherer) 29. On multiple L-values. J. Math. Soc. Japan 56 (2004), 967-991. (with M. Kaneko) Preprints 30. Real analytic Jacobi Eisenstein series and Dirichlet series attached to three Jacobi forms, Preprints of the Max-Planck-Institut fur Mathematik, 1998-66 (with B. Heim) 31. Shimura correspondence for Maass wave forms via Selberg trace formulas and zeta functions, 2003.
For a fixed U e GL(2,Z)°(Ni)\GL{2,Z) R(l)ro(N) we check now, which (C,D) = U- and a fixed 2 | AT and R G cu>\ cw^a — CL127 duJi cu>3/3 — du)2SN x do actually satisfy the conditions (*); we check the congruence conditions (*) separately for all p \ N in several steps: • The case p \ N2 (see also [8]) The condition det(C) coprime to A2 implies c, LJI , 7 coprime to p in particular, p is coprime to Z, in other words, the condition I \ N\ always holds. • The c a s e p \ N \ \ We first observe that C has rank 1 over F p , therefore p I CW17.
Automorphic Forms And Zeta Functions: Proceedings of the Conference in Memory of Tsuneo Arakawa Rikkyo University, Japan 4-7 September 2004 by Siegfried Bocherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato
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