THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD

DOI10.1142/S1793042113500917zbMath1314.11054arXiv1211.2182MaRDI QIDQ5746427

Winston Heap

Publication date: 18 February 2014

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

Full work available at URL: https://arxiv.org/abs/1211.2182

zbMATH Keywords

momentsDedekind zeta functionmean valuesDirichlet polynomial

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Dedekind eta function, Dedekind sums (11F20)

Related Items (4)

Moments of the Hurwitz zeta function on the critical line ⋮ A quadratic divisor problem and moments of the Riemann zeta-function ⋮ Gaps between zeros of Dedekind zeta-functions of quadratic number fields ⋮ Moments of the Dedekind zeta function and other non-primitiveL-functions

Cites Work

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• On the asymptotic behaviour of the ideal counting function in quadratic number fields
• A quadratic divisor problem
• On exponential sums involving the ideal counting function in quadratic number fields
• A note on the mean value of the Dedekind zeta-function of the quadratic field
• Lower bounds for power moments of L-functions
• The mean square of the Dedekind zeta function in quadratic number fields
• Fourth moments of grossencharakteren zeta functions

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