Subconvexity for the Rankin-Selberg L-function in both levels

P. Edward Herman

Subconvexity for the Rankin-Selberg L-function in both levels

Number Theory 2013-03-20 v1

Authors: P. Edward Herman

Abstract

In this paper, we obtain a subconvexity result for the Rankin-Selberg L-function in both levels. The new feature in this result is applying an amplification method of Duke-Friedlander-Iwaniec to a double Petersson-Kuznetsov trace formula. As the trace formula ranges over all the $GL_2$ spectrum, this subconvexity result is unconditional of which Hecke eigenforms are chosen in the Rankin-Selberg L-function.

Keywords

l-functions trace formula

Cite

@article{arxiv.1303.4459,
  title  = {Subconvexity for the Rankin-Selberg L-function in both levels},
  author = {P. Edward Herman},
  journal= {arXiv preprint arXiv:1303.4459},
  year   = {2013}
}

Comments

34 pages; Any comments are welcome on this draft

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