Simple zeros of the zeta function of a quadratic number field. I

DOI10.1007/BF01389269zbMath0604.12013OpenAlexW4241483398MaRDI QIDQ1083479

Amit Ghosh, Steven M. Gonek, John Brian Conrey

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143408

zbMATH Keywords

Riemann zeta-functionquadratic number fieldsimple zerosDedekind zeta-function

Mathematics Subject Classification ID

Quadratic extensions (11R11) (zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42)

Related Items (12)

\(\Omega\)-result for the index of composition of an integral ideal ⋮ Simple zeros of the Ramanujan \(\tau\)-Dirichlet series ⋮ On the value distribution of two Dirichlet \(L\)-functions ⋮ Simple zeros of modular L -functions ⋮ SUM OF VALUES OF THE IDEAL CLASS ZETA-FUNCTION OVER NONTRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION ⋮ Sum of the Dirichlet \(L\)-functions over nontrivial zeros of another Dirichlet \(L\)-function ⋮ Gaps between zeros of Dedekind zeta-functions of quadratic number fields ⋮ SIMPLE ZEROS OF MAASS L-FUNCTIONS ⋮ THE DISCRETE MEAN SQUARE OF THE DIRICHLET L-FUNCTION AT NONTRIVIAL ZEROS OF ANOTHER DIRICHLET L-FUNCTION ⋮ Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros ⋮ ON SIMPLE ZEROS OF THE DEDEKIND ZETA‐FUNCTION OF A QUADRATIC NUMBER FIELD ⋮ Large values of Dirichlet L-functions at zeros of a class of L-functions

Cites Work

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• Mean values of the Riemann zeta-function and its derivatives
• Topics in multiplicative number theory
• Simple Zeros of the Riemann Zeta-Function

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