Far Eastern Mathematical Journal

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The arithmetic nature of the triple and quintuple product identities

N. V. Budarina, V. A. Bykovskii

2011, issue 2, Ñ. 140–148

In this paper the new proof is suggested for decomposition of twisted with quadratic characters modulo 4 and 3 theta-functions to the infinite product. It is based on the Euler's method of logarithmic derivation and the elementary arithmetic concepts.

theta-function, Liouville identities, infinite product

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