A RELATION BETWEEN THE ZEROS OF TWO DIFFERENT L-FUNCTIONS WHICH HAVE AN EULER PRODUCT AND FUNCTIONAL EQUATION

DOI10.1142/S1793042105000248zbMath1153.11326arXivmath/0412224MaRDI QIDQ3370696

Masatoshi Suzuki

Publication date: 8 February 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412224

zbMATH Keywords

interpolationfunctional equationRiemann zeta-functionEuler productzeros of \(L\)-functionszeros of automorphic \(L\)-functions attached to elliptic modular formszeros of Rankin-Selberg \(L\)-functions

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)

Cites Work

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• A relation between the zeros of an \(L\)-function belonging to the Selberg class and the zeros of an associated \(L\)-function twisted by a Dirichlet character
• Some observations concerning the distribution of the zeros of the zeta functions. III
• On the Selberg class of Dirichlet series: Small degrees
• Zeros of principal \(L\)-functions and random matrix theory
• Zeroes of zeta functions and symmetry

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