A note on the mean value of the Dedekind zeta-function of the quadratic field

DOI10.1007/BF01350815zbMath0198.06902MaRDI QIDQ2540304

Yoichi Motohashi

Publication date: 1970

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162043

zbMATH Keywords

quadratic fieldmean valueDedekind zeta-function

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Related Items

Continuous lower bounds for the moments of Dedekind zeta-functions, General L-functions, Pseudo-laplaciens. II, Gaps between zeros of Dedekind zeta-functions of quadratic number fields, Second moment of the Beurling zeta-function, THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD, The mean value of the derivative of the Dedekind zeta‐function of a real quadratic field, The mean-value of the Artin L-series and its derivative of a cubic field, Moments of products of automorphic \(L\)-functions, The fourth moment of individual Dirichlet \(L\)-functions on the critical line, Moments of the Dedekind zeta function and other non-primitiveL-functions, A mean value theorem for the Dedekind zeta-function of a quadratic number field

Cites Work

• The approximate functional equation for a class of zeta-functions
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