Far Eastern Mathematical Journal

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Hyperelliptic system of sequences and functions

Avdeeva M.O., Bykovskii V.A.

2016, issue 2, Đ. 115-122

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

functional equations, theta functions, Weierstrass sigma-function, nonlinear sequences

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[1] K.F. Gauss, źZur Theorie der neuen Transscendenten╗, Werke: Dritter Band [III], Koniglichen Gesellschaft der Wissenschaften, Gottingen, 1866.
[2] C. G. J. Jacobi, Gesammelte Werke. V. 1, Berlin, 1881.
[3] V. Bykovskii, źElliptic systems of sequences and functions╗, 2015, http://www.skoltech.ru/app/data/uploads/sites/29/2015/02/Skolkovo Bykovskii.pdf.
[4] R. Rochberg, L.A. Rubel, Indiana Univ. Math. J., 41 (1992), 363-376.

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