Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series

Details Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series

2011-10-12

arxiv.org/abs/1110.2797v2

Mathematics

Number Theory

Scientific paper

We evaluate the action of Hecke operators on Siegel Eisenstein series of degree 2, square-free level and arbitrary character, without using knowledge of their Fourier coefficients. From this we construct a basis of simultaneous eigenforms for the full Hecke algebra, and we compute their eigenvalues. As well, we obtain Hecke relations among the Eisenstein series. Using these Hecke relations in the case that $\stufe$ is square-free and the character is trivial, we generate a basis for the space of Eisenstein series.

Affiliated with

Also associated with

No associations

Rating

Hecke eigenvalues and relations for degree 2 Siegel 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 Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498285