Stable averages of central values of Rankin-Selberg L-functions: some new variants

Details Stable averages of central values of Rankin-Selberg L-functions: some new variants Stable averages of central values of Rankin-Selberg L-functions: some new variants

2012-02-28

arxiv.org/abs/1202.6313v1

Mathematics

Number Theory

21 pages; submitted (Mar 2010)

Scientific paper

As shown by Michel-Ramakrishan (2007) and later generalized by Feigon-Whitehouse (2008), there are "stable" formulas for the average central L-value of the Rankin-Selberg convolutions of some holomorphic forms of fixed even weight and large level against a fixed imaginary quadratic theta series. We obtain exact finite formulas for twisted first moments of Rankin-Selberg L-values in much greater generality and prove analogous "stable" formulas when one considers either arbitrary modular twists of large prime power level or real dihedral twists of odd type associated to a Hecke character of mixed signature.

Affiliated with

Also associated with

No associations

Rating

Stable averages of central values of Rankin-Selberg L-functions: some new variants 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 Stable averages of central values of Rankin-Selberg L-functions: some new variants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable averages of central values of Rankin-Selberg L-functions: some new variants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612655