The classical theory of zeta and \(L\)-functions.

DOI10.1007/s00032-010-0121-8zbMath1275.11117OpenAlexW1969630244MaRDI QIDQ627051

Enrico Bombieri

Publication date: 19 February 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-010-0121-8

zbMATH Keywords

prime number theoremzeta functionWeil conjectureszeta valuesDirichlet L-series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) History of number theory (11-03) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50)

Related Items (8)

The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ Converse theorems: from the Riemann zeta function to the Selberg class ⋮ The universality theorem for Hecke \(L\)-functions ⋮ Large Values of the Zeta-Function on the Critical Line ⋮ Generalized Riemann hypothesis and stochastic time series ⋮ An Essay on the Riemann Hypothesis ⋮ Generalized Riemann hypothesis, time series and normal distributions ⋮ Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis

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