Hecke's theory and the Selberg class

DOI10.7169/facm/1229442622zbMath1196.11069OpenAlexW2091915271MaRDI QIDQ873775

Jörn Steuding, Jerzy Kaczorowski, Giuseppe Molteni, Alberto Perelli, Wolfart, Jürgen

Publication date: 20 March 2007

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229442622

zbMATH Keywords

Selberg classHecke theory

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (7)

Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law ⋮ ON THE STANDARD TWIST OF THE -FUNCTIONS OF HALF-INTEGRAL WEIGHT CUSP FORMS ⋮ Distinguishing \(L\)-functions by joint universality ⋮ (Almost) primitivity of Hecke \(L\)-functions ⋮ The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series ⋮ A note on Hecke's functional equation and the Selberg class ⋮ Riemann-type functional equations. Julia line and counting formulae

Cites Work

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• Über die Heckeschen Gruppen \(G(\lambda)\). II
• On the Selberg class of Dirichlet series: Small degrees
• On the structure of the Selberg class. V: \(1<d<5/3\)
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• Factorization in the extended Selberg class
• Hecke operators on \(\Gamma_0(m)\)
• Graduierte Algebren automorpher Formen zu Dreiecksgruppen
• Transzendente Zahlen als Fourierkoeffizienten von Heckes Modulformen
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung

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