Numerical Solution of Two Coupled Nonlinear Equations Related to the Limits of Buchstab's Iteration Sieve

摘要

Details are presented of numerical computations concerning the solution of two coupled nonlinear equations which arise in connection with the so-called Buchstab iteration sieve in number theory. The computations involve (among others) a function which is given as an infinite range integral over an integrand which has a weak singularity in on of the endpoints, and a function which is the solution of a differential-difference equation.