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The maximum size of L-functions
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David W Farmer
,
S. M Gonek
Published/Copyright:
September 13, 2007
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.
Received: 2005-08-23
Revised: 2006-08-03
Published Online: 2007-09-13
Published in Print: 2007-08-28
© Walter de Gruyter
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Articles in the same Issue
- Shelling totally nonnegative flag varieties
- Nilpotent orbits of a generalization of Hodge structures
- Interpolation of numbers of Catalan type in a local field of positive characteristic
- Cohomologies of unipotent harmonic bundles over noncompact curves
- The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
- The maximum size of L-functions
Articles in the same Issue
- Shelling totally nonnegative flag varieties
- Nilpotent orbits of a generalization of Hodge structures
- Interpolation of numbers of Catalan type in a local field of positive characteristic
- Cohomologies of unipotent harmonic bundles over noncompact curves
- The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
- The maximum size of L-functions
