Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions

DOI10.7169/facm/1229619652zbMath1223.11105OpenAlexW1984737957MaRDI QIDQ2479892

Jerzy Kaczorowski, Giuseppe Molteni, Alberto Perelli

Publication date: 3 April 2008

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1229619652

zbMATH Keywords

automorphic \(L\)-functionsHecke \(L\)-functionsSelberg classArtin \(L\)-functionsDedekind conjectureunique factorization of \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

Related Items (3)

Zeros of combinations of Euler products for \(\sigma > 1\) ⋮ On the density of zeros of linear combinations of Euler products for \(\sigma>1\) ⋮ Unique factorization results for semigroups of \(L\)-functions

Cites Work

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• A survey of the Selberg class of \(L\)-functions. I
• Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
• Arithmetic and ideal theory of commutative semigroups
• Construction of fields of algebraic numbers with given solvable Galois group
• Axiomatic Theory of L-Functions: the Selberg Class
• Artin’s conjecture for representations of octahedral type
• Selberg’s conjectures and Artin 𝐿-functions
• Non-vanishing of \(L\)-functions and applications

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