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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 449, Pages 230–234 (Mi znsl6329)

Zeta function of the category of finite Abelian groups

N. V. Proskurin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: Zeta function attached to the category of finte Abelian groups is defined and studied. This zeta function is expressed in terms of the Riemann zeta function.

Key words and phrases: zeta function of the category.

UDC: 511.331.1+517.537.6

Received: 26.09.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 225:6, 991–993

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© Steklov Math. Inst. of RAS, 2025