Multiplicative structures of values of the sum-of-divisors function

Details Multiplicative structures of values of the sum-of-divisors function Multiplicative structures of values of the sum-of-divisors function

2005-12-08

arxiv.org/abs/math/0512175v1

Mathematics

Number Theory

14 pages, submitted to Math. Proc. Cambridge Phil. Soc

Scientific paper

We study equations of the form $\sigma(p^{q-1})=Az$, 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.

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