Das Verhalten der Dedekindschen Funktion \(\eta(\tau)\) unter Modulsubstitutionen

DOI10.1007/BF01470839zbMath0118.07901MaRDI QIDQ2626116

H. D. Kloosterman

Publication date: 1963

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

Full work available at URL: https://eudml.org/doc/161047

zbMATH Keywords

Dedekind eta-functiontransformation formulamodular substitutionsGaussian sumSelberg formulaRademacher formula for partition function

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items (1)

Applications of the theory of modular forms to number theory

Cites Work

• A sum connected with the series for the partition function
• On Dedekind's function \(\eta(\tau)\)
• The behaviour of general theta functions under the modular group and the characters of binary modular congruence groups. I, II
• On the Partition Function p (n )

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