Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers

DOI10.4153/s0008414x2300010xarXiv2205.01024OpenAlexW4318466561MaRDI QIDQ6080112

Marc Munsch, Stéphane R. Louboutin

Publication date: 30 October 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.01024

zbMATH Keywords

cyclotomic fieldDedekind sums\(L\)-functiondiscrepancymean square valuerelative class numberDirichlet charactermultiplicative subgroup

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Dedekind eta function, Dedekind sums (11F20) Distribution modulo one (11J71) Other abelian and metabelian extensions (11R20)

Related Items (1)

Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers

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