2 papers
math.NT2024
Sums of two squares and the tau-function: Ramanujan's trail
Bruce C. Berndt, Pieter Moree
Ramanujan, in his famous first letter to Hardy, claimed a very precise estimate for the number of integers that can be written as a sum of two squares. Far less well-known is that…
math.NT2001
Multivariate Diophantine equations with many solutions
J. -H. Evertse, P. Moree, C. L. Stewart +1
We show that for each n-tuple of positive rational integers (a_1,..,a_n) there are sets of primes S of arbitrarily large cardinality s such that the solutions of the equation a_1x_…