By Siegfried Bocherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato

"This quantity incorporates a selection of articles awarded at a convention on Automorphic kinds and Zeta features in reminiscence of Tsuneo Arakawa, an eminent researcher in modular varieties in different variables and zeta features. The booklet starts with a assessment of his works, by means of sixteen articles via specialists within the fields. This selection of papers illustrates Arakawa's contributions and the present tendencies in modular kinds in numerous variables and comparable zeta services.

Show description

Read Online or Download Automorphic Forms and Zeta Functions: Proceedings of the Conference in Memory of Tsuneo Arakawa Rikkyo University PDF

Similar international conferences and symposiums books

Genetic Programming: 12th European Conference, EuroGP 2009 Tübingen, Germany, April 15-17, 2009 Proceedings

This e-book constitutes the refereed lawsuits of the eleventh eu convention on Genetic Programming, EuroGP 2009, held in Tübingen, Germany, in April 2009 colocated with the Evo* 2009 occasions. The 21 revised plenary papers and nine revised poster papers have been rigorously reviewed and chosen from a complete of fifty seven submissions.

Thiol metabolism and redox regulation of cellular functions

The quantity contains contributions by way of a number of the prime scientists within the box of thiol oxidation/reduction (redox) biochemistry, concerned with the biological/pathophysiological implications of newly stumbled on features of mobile thiols, similar to glutathione within the first position. fresh learn has proven that thiols - in addition to their good demonstrated function in phone safety opposed to prooxidant harm - can mediate physiological features of unfastened radicals and different prooxidants, e.

Product Focused Software Process Improvement: Third International Conference, PROFES 2001 Kaiserslautern, Germany, September 10–13, 2001 Proceedings

The 3rd overseas convention on Product centred software program technique development (PROFES 2001) persisted the luck of the PROFES’99 and PROFES 2000 meetings. PROFES 2001 was once equipped in Kaiserslautern, Germany, September 10 thirteen, 2001. The PROFES convention has its roots within the PROFES Esprit venture (http://www.

Adaptive Multimedia Retrieval: User, Context, and Feedback: Third International Workshop, AMR 2005, Glasgow, UK, July 28-29, 2005, Revised Selected Papers

This publication is a longer choice of revised contributions that have been in the beginning submitted to the overseas Workshop on Adaptive Multimedia Retrieval (AMR 2005). This workshop was once prepared in the course of July 28-29, 2005, on the U- versity of Glasgow, united kingdom, as a part of a data retrieval study pageant and in co-location with the nineteenth overseas Joint convention on Arti?

Extra info for Automorphic Forms and Zeta Functions: Proceedings of the Conference in Memory of Tsuneo Arakawa Rikkyo University

Example text

Here we propose a somewhat brutal strategy: We write the genus Eisenstein series as a linear combination of Eisenstein series attached to the inequivalent cusps. Then one tries to compute the same kind of integral for each of these group-theoretical Eisenstein series individually (by considerations completely independent of theta series). This seems to be a somewhat painful task in general. Indeed it is the second main topic of this paper to work this out explicitly for the case n — 1, squarefree levels and all Eisenstein series.

It is also possible, to define in the same way as above Eisenstein series E%(Z, ip, R, s) for any R £ GSp+(n,Q) and any character if> of TQ (JV); occasionally we use such a more general Eisenstein series. 48 S. Bocherer For many purposes it is enough to know these Eisenstein series only up to the action of elements of the normalizer of TQ(N): Let W € GSp+(n, Q) normalize TQ(N), then we have, for R G Sp(n,Z) by a simple calculation EZ(Z,X,R,8)\kW = EZ(Z,rl>,RW,8), where the character V" of TQ (N) is defined by xiWjW-1).

P{2'Kyf^lw). We denote the C-vector space of all symmetric Hilbert modular forms of weight k by A+ = [F G Ak I F(TUT2) = Ffo,n)} and the C-vector space of all skew-symmetric Hilbert modular forms of weight k by A~k = { F G Ak | F ( T I , 7 5 ) = - F f a . T i ) } . If F ( T I , T 2 ) G Afc, then + ^ F(W)+F{M) F(r1,r2)-F(r2,r1)e fc 2 K 2 Hence we have Ak = Ak ® Ak , where the symbol © means the direct sum as C-vector spaces. Put A++ :={F A+ I F(TI,T2) {F&At At A~k G + ••={F€A~k Ak-:={FeAk = F(sTUe'T2)} , F(T1,T2) = F(T1,r2) = -F(£T1,S'T2)}, F(eT1,e'T2)}, -F(eTUe,T2)}.

Download PDF sample

Rated 4.19 of 5 – based on 7 votes