Genus theta series, Hecke operators and the basis problem for Eisenstein series

Details Genus theta series, Hecke operators and the basis problem for Eisenstein series Genus theta series, Hecke operators and the basis problem for Eisenstein series

2005-08-30

arxiv.org/abs/math/0508613v2

Mathematics

Number Theory

23 pages, to appear in the proceedings of the conference to the memory of Tsuneo Arakawa, Tokyo 2004. Revised Dec 14,2005: typ

Scientific paper

We derive explicit formulas for the action of the Hecke operator $T(p)$ on
the genus theta series of a positive definite integral quadratic form and prove
a theorem on the generation of spaces of Eisenstein series by genus theta
series. We also discuss connections of our results with Kudla's matching
principle for theta integrals.

Affiliated with

Also associated with

No associations

Rating

Genus theta series, Hecke operators and the basis problem for Eisenstein series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Genus theta series, Hecke operators and the basis problem for Eisenstein series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Genus theta series, Hecke operators and the basis problem for Eisenstein series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21213