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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2013 Volume 414, Pages 7–30 (Mi znsl5676)
Dedekind's eta-function in algebra and number theory: old and new problems

G. V. Voskresenskaya

Samara State University, Samara, Russia

Abstract: In this paper we survey open problems concerning the Dedekind eta-function. These problems appear in various areas of algebra and number theory.

Key words and phrases: group representations, modular forms, Dedekind $\eta$-function.

UDC: 512.5+511.334

Received: 02.07.2012


 English version: Journal of Mathematical Sciences (New York), 2014, 199:3, 248–260

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© Steklov Math. Inst. of RAS, 2025