Linear independence of L-functions

DOI10.1515/FORUM.2006.001zbMath1099.11048MaRDI QIDQ3378365

Giuseppe Molteni, Jerzy Kaczorowski, Alberto Perelli

Publication date: 30 March 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

functional equation\(L\)-functionsDirichlet seriesEuler productmultiplicity one

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (13)

Zeros of combinations of Euler products for \(\sigma > 1\) ⋮ General $\Omega $-theorems for coefficients of $L$-functions ⋮ Internal twists of \(L\)-functions. II ⋮ Classification of \(L\)-functions of degree 2 and conductor 1 ⋮ Independence of Artin \(L\)-functions ⋮ Unique factorization results for semigroups of \(L\)-functions ⋮ SOLVING LINEAR EQUATIONS IN L-FUNCTIONS ⋮ On a Hecke-type functional equation with conductor \(q=5\) ⋮ On \(L\)-functions with poles satisfying Maaß's functional equation ⋮ A note on the linear independence of a class of series of functions ⋮ Weil’s converse theorem for Maass forms and cancellation of zeros ⋮ Ratios of Artin \(L\)-functions ⋮ Value-sharing and uniqueness for $L$-functions

Cites Work

• Über fastperiodische ebene Bewegungen
• Zeros of principal \(L\)-functions and random matrix theory
• On Artin's L-functions. I

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