This article is cited in 4 papers

On the arithmetic nature of some identities of the elliptic functions theory

V. A. Bykovskii^a, M. D. Monina<sup>ab

a</sup> Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
^b Far-Eastern State University of Humanities

Abstract: The article offers a new arithmetic method of proof of the classical triple, quintuple and octuple product identities of the theta functions theory.

Key words: theta function, Liouville's identity, infinite product.

UDC: 519.11, 511.556

MSC: Primary 11F20; Secondary 11F27

Received: 01.03.2013