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25 April 2024

» arxiv » 1210.1439

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On the representation of the number of integral points of an elliptic curve modulo a prime number
Michael Th. Rassias ;
Date:	4 Oct 2012
Abstract:	In this paper we shall investigate the problem of the representation of the number of integral points of an elliptic curve modulo a prime number p. We present a way of expressing an exponential sum which involves polynomials of third degree, in explicit non-exponential terms. In the process, we present explicit formulas for the calculation of some series involving the Riemann Zeta function.
Source:	arXiv, 1210.1439
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