Multiplicative structures of values of the sum-of-divisors function
Abstract
Description
We study equations of the form $σ(p^{q-1})=Az$, where $p$ is a prime, $q$ is a fixed odd prime, $A$ is a fixed integer and $z$ is an integer composed of primes in a fixed finite set. We shall improve upper bounds for the size and the number of solutions of such equations.
14 pages, submitted to Math. Proc. Cambridge Phil. Soc
14 pages, submitted to Math. Proc. Cambridge Phil. Soc