An additive problem in the Fourier coefficients of cusp forms

Details An additive problem in the Fourier coefficients of cusp forms An additive problem in the Fourier coefficients of cusp forms

2001-01-10

arxiv.org/abs/math/0101096v5

Math. Ann. 326 (2003), 347-365

Mathematics

Number Theory

16 pages, LaTeX2e; v2: lots of changes, Theorem 2 is new, notation changed to standard one, abstract and further references ad

Scientific paper

We establish an estimate on sums of shifted products of Fourier coefficients coming from holomorphic or Maass cusp forms of arbitrary level and nebentypus. These sums are analogous to the binary additive divisor sum which has been studied extensively. As an application we derive, extending work of Duke, Friedlander and Iwaniec, a subconvex estimate on the critical line for L-functions associated to character twists of these cusp forms.

Affiliated with

Also associated with

No associations

Rating

An additive problem in the Fourier coefficients of cusp forms 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 An additive problem in the Fourier coefficients of cusp forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An additive problem in the Fourier coefficients of cusp forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564806