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On the representation of the number of integral points of an elliptic curve modulo a prime number (1210.1439v3)
Published 4 Oct 2012 in math.NT
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.
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