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The maximum size of L-functions
Research output: Contribution to journal › Article › peer-review
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Publication details
| Journal | Journal für die reine und angewandte Mathematik |
|---|---|
| Date | Published - Aug 2007 |
| Volume | 609 |
| Number of pages | 22 |
| Pages (from-to) | 215-236 |
| Original language | English |
Abstract
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.
- RIEMANN ZETA-FUNCTION, RANDOM-MATRIX THEORY, ZETA(1/2+IT), MOMENTS, VALUES
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