FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Hyperelliptic system of sequences and functions |
Avdeeva M.O., Bykovskii V.A. |
2016, issue 2, P. 115-122 |
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 |
Keywords: functional equations, theta functions, Weierstrass sigma-function, nonlinear sequences |
Download the article (PDF-file) |
References |
| [1] K.F. Gauss, «Zur 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, «Elliptic 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. |