Values of the Dedekind Eta Function at Quadratic Irrationalities

DOI10.4153/CJM-1999-011-1zbMath0936.11026OpenAlexW2154529473WikidataQ55983665 ScholiaQ55983665MaRDI QIDQ4260328

Alfred J. van der Poorten, Kenneth S. Williams

Publication date: 7 September 1999

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

Full work available at URL: https://doi.org/10.4153/cjm-1999-011-1

zbMATH Keywords

Gamma functionsChowla-Selberg formuladiscriminant of an imaginary quadratic fieldeta function of Dedekind

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Dedekind eta function, Dedekind sums (11F20) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (8)

Finiteness of irreducible holomorphic eta quotients of a given level ⋮ Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums ⋮ Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions ⋮ Values of the Dedekind Eta Function at Quadratic Irrationalities: Corrigendum ⋮ A lattice sum involving the cosine function ⋮ Evaluation of some \(q\)-integrals in terms of the Dedekind eta function ⋮ Convolution Dirichlet Series and a Kronecker Limit Formula for Second-Order Eisenstein Series ⋮ The Eichler integral of \(E_2\) and \(q\)-brackets of \(t\)-hook functions

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