If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
We show that the multiple zeta sum: ζ(s1, s2, ..., sd) = n1>n2>...>nd 1 ns1 1 ns2 2 ...n sd d , for positive integers si with s1 > 1, can always be written as a finit...
Abstract. Schoof’s algorithm computes the number m of points on an elliptic curve E defined over a finite field Fq. Schoof determines m modulo small primes using the character...
In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization initialized in a paper by Shu and Osher, suitable for solvi...
New transformations for accelerating the convergence of infinite double series and infinite double integrals are presented. These transformations are generalizations of the univa...