On the structure of the Selberg class. III: Sarnak's rigidity conjecture

DOI10.1215/S0012-7094-00-10137-8zbMath0997.11072OpenAlexW1990960763WikidataQ122949921 ScholiaQ122949921MaRDI QIDQ1975998

Jerzy Kaczorowski, Alberto Perelli

Publication date: 12 November 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10137-8

zbMATH Keywords

automorphic \(L\)-functionsSelberg classrigidity conjectureanalytic familyanlaytic shifted familycountability conjectureSelberg orthonormality conjecture

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (3)

Applications of a theorem of H. Cramér to the Selberg class ⋮ On the density of zeros of linear combinations of Euler products for \(\sigma>1\) ⋮ A note on the degree conjecture for the Selberg class

Cites Work

• Holomorphe und meromorphe Abbildungen komplexer Räume
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• On Sarnak's Rigidity Conjecture
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