English

Extreme values of zeta and L-functions

Number Theory 2008-04-04 v2 Classical Analysis and ODEs

Abstract

We introduce a "resonance" method to produce large values of ζ(1/2+it)|\zeta(1/2+it)| and large and small central values of LL-functions.

Keywords

Cite

@article{arxiv.0708.3990,
  title  = {Extreme values of zeta and L-functions},
  author = {K. Soundararajan},
  journal= {arXiv preprint arXiv:0708.3990},
  year   = {2008}
}

Comments

16 pages; Version 2 makes a few light revisions. To appear in Math. Annalen

R2 v1 2026-06-21T09:11:57.198Z