Unique factorization results for semigroups of \(L\)-functions

DOI10.1007/s00208-007-0197-9zbMath1163.11062OpenAlexW2036776808MaRDI QIDQ927264

Giuseppe Molteni, Jerzy Kaczorowski, Alberto Perelli

Publication date: 4 June 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-007-0197-9

zbMATH Keywords

\(L\)-functionsSelberg class

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (5)

A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS ⋮ Converse theorems: from the Riemann zeta function to the Selberg class ⋮ Non-linear twists of \(L\)-functions: a survey ⋮ SOLVING LINEAR EQUATIONS IN L-FUNCTIONS ⋮ Factorization in the extended Selberg class ofL-functions associated with holomorphic modular forms

Cites Work

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• The ring of number-theoretic functions
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• 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
• Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions
• Linear independence of L-functions
• Axiomatic Theory of L-Functions: the Selberg Class
• Selberg’s conjectures and Artin 𝐿-functions

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