On Dedekind's transformation formula for \(\log\eta (\tau)\)

DOI10.1007/BF02992368zbMath0173.09302OpenAlexW2314611583MaRDI QIDQ2532180

Curt Meyer

Publication date: 1967

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02992368

zbMATH Keywords

Mellin transformDedekind eta-functionPoisson summation formulafunctional equation of Hurwitz zeta-functiontransformation of nonsymmetric theta-functions

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items

Arithmetic of higher dimensional Dedekind-Rademacher sums, A simple proof of the transformation formula for \(\log \eta(z)\), Über die Transformationsformel von \(\log \eta (\tau)\) und gewisser Lambertscher Reihen, Higher dimensional Dedekind sums

Cites Work

• The transformation formula for the Dedekind modular function and related functional equations
• Verhalten von speziellen Integralen 3. Gattung bei Modultransformationen und verallgemeinerte Dedekindsche Summen
• A proof of a transformation formula in the theory of partitions
• Über einige Anwendungen Dedekindscher Summen.
• Zur Theorie der Modulfunktionen.
• The Solution of Algebraic and Transcendental Equations by Iteration
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