The maximum size of $L$-functions

David W. Farmer; S. M. Gonek; C. P. Hughes

The maximum size of $L$-functions

数论 2007-05-23 v3

作者: David W. Farmer , S. M. Gonek , C. P. Hughes

摘要

We conjecture the true rate of growth of the maximum size of the Riemann zeta function and other $L$ -functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of $L$ -functions, and also by assuming a random model for the primes.

关键词

riemann zeta function l-functions zeta functions

引用

@article{arxiv.math/0506218,
  title  = {The maximum size of $L$-functions},
  author = {David W. Farmer and S. M. Gonek and C. P. Hughes},
  journal= {arXiv preprint arXiv:math/0506218},
  year   = {2007}
}

备注

Final version. To appear in Crelle

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