A simple proof of the transformation formula for \(\log \eta(z)\)

DOI10.1007/BF01351679zbMath0368.10021OpenAlexW2076564752MaRDI QIDQ1242937

Robert Sczech

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/182783

zbMATH Keywords

Dedekind eta-functionDedekind sumsEisenstein theorem

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items

\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series, Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums, On the theta-multiplier system

Cites Work

• The transformation formula for the Dedekind modular function and related functional equations
• On the transformation of log \(\eta (\tau)\)
• On Dedekind's transformation formula for \(\log\eta (\tau)\)
• Über die Transformationsformel von \(\log \eta (\tau)\) und gewisser Lambertscher Reihen
• Zur Theorie der Modulfunktionen.
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