Remarks on Weil's quadratic functional in the theory of prime numbers. I

zbMath1008.11034MaRDI QIDQ1851422

Enrico Bombieri

Publication date: 17 December 2002

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Fourier transformRiemann zeta functionquadratic formeigenfunctionRiemann HypothesisExplicit FormulaWeil's quadratic functional

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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