Subconvexity for L-functions of non-spherical cusp forms on GL(3)

Valentin Blomer; Jack Buttcane

Subconvexity for L-functions of non-spherical cusp forms on GL(3)

Number Theory 2018-01-24 v1

Authors: Valentin Blomer , Jack Buttcane

Abstract

Let f be a cusp form for SL(3, Z) associated with a generalized principal series representation of minimal weight d, spectral parameter r and associated L-function L(s, f). For $r \asymp d \asymp T$ the subconvexity bound $L(1/2, f) \ll T^{3/4 - 1/140000}$ is proved.

Keywords

subconvexity l-function cusp form gl(3) spectral parameter generalized principal series

Cite

@article{arxiv.1801.07611,
  title  = {Subconvexity for L-functions of non-spherical cusp forms on GL(3)},
  author = {Valentin Blomer and Jack Buttcane},
  journal= {arXiv preprint arXiv:1801.07611},
  year   = {2018}
}

Comments

23 pages

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