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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive
Dal'nevost. Mat. Zh., 2016 Volume 16, Number 2, Pages 115–122 (Mi dvmg326)
This article is cited in 10 papers

Hyperelliptic system of sequences and functions

M. O. Avdeeva, V. A. Bykovskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: The article offers a new method for constructing the pairs of functions which are holomorphic on the whole complex plane and satisfy functional equations such as the addition theorem for theta functions.

Key words: functional equations, theta functions, Weierstrass sigma-function, nonlinear sequences.

UDC: 511.21+517.965+517.547.582

MSC: Primary 11B37; Secondary 33E05

Received: 12.09.2016



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