We report the discovery of a new factor for each of the Fermat numbers F13, F15, F16. These new factors have 27, 33 and 27 decimal digits respectively. Each factor was found by the...
Richard P. Brent, Richard E. Crandall, Karl Dilche...
The best algorithm known for finding logarithms on an elliptic curve (E) is the (parallelized) Pollard lambda collision search. We show how to apply a Pollard lambda search on a se...
Robert P. Gallant, Robert J. Lambert, Scott A. Van...
Abstract. We consider numerical methods for a “quasi-boundary value” regularization of the backward parabolic problem given by ut + Au = 0 , 0 < t < T u(T ) = f, where A ...
Karen A. Ames, Gordon W. Clark, James F. Epperson,...
This paper reports on new results for the equation m i=1 ak i = n j=1 bk j , i.e., equal sums of like powers. Since the 1967 Lander, Parkin and Selfridge survey paper [4], few othe...
In this paper we construct and analyze new non-overlapping domain decomposition preconditioners for the solution of second-order elliptic and parabolic boundary value problems. The...
James H. Bramble, Joseph E. Pasciak, Apostol T. Va...