On the zeros of zeta-functions of quadratic forms

zbMath0432.10009MaRDI QIDQ1138570

S. M. Voronin

Publication date: 1976

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

imaginary quadratic fieldsnumber of zerosHecke L-functionsEpstein zeta-function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Zeta functions and (L)-functions of number fields (11R42)

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Approximation of and by the Riemann zeta-function ⋮ GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR ⋮ Upper bound for the number of zeros of a meromorphic function outside a vertical line and applications ⋮ Zeros of linear combinations of Dirichlet series ⋮ Primitive lattice points inside an ellipse ⋮ Zeros of the Epstein zeta function to the right of the critical line ⋮ Analytic properties of Dirichlet generating functions of arithmetic objects ⋮ On the zeros of Epstein zeta functions near the critical line ⋮ О работах Анатолия Алексеевича Карацубы, написанных им в 1990-е и 2000-е годы ⋮ Zeros of the derivative of the Riemann zeta-function

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