Bounding sup-norms of cusp forms of large level

Details Bounding sup-norms of cusp forms of large level Bounding sup-norms of cusp forms of large level

2008-08-11

arxiv.org/abs/0808.1525v3

Mathematics

Number Theory

version 3: substantially revised version

Scientific paper

Let f be an $L^2$-normalized weight zero Hecke-Maass cusp form of square-free level N, character $\chi$ and Laplacian eigenvalue $\lambda\geq 1/4$. It is shown that $\| f \|_{\infty} \ll_{\lambda} N^{-1/37}$, from which the hybrid bound $\|f \|_{\infty} \ll \lambda^{1/4} (N\lambda)^{-\delta}$ (for some $\delta > 0$) is derived. The first bound holds also for $f = y^{k/2}F$ where F is a holomorphic cusp form of weight k with the implied constant now depending on k.

Affiliated with

Also associated with

No associations

Rating

Bounding sup-norms of cusp forms of large level 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 Bounding sup-norms of cusp forms of large level, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounding sup-norms of cusp forms of large level will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493240