Some Diophantine equations and inequalities with primes
Number Theory
2020-08-31 v1
Abstract
The inequalities concern the sum of s powers of primes with non-integer exponent c>1. Here s =2,3,4,or 5. The equations are similar, taking integer part before summing; here s = 3 or 5. New ranges of c are found in all cases for which many solutions in primes exist.
Cite
@article{arxiv.2008.12392,
title = {Some Diophantine equations and inequalities with primes},
author = {Roger Baker},
journal= {arXiv preprint arXiv:2008.12392},
year = {2020}
}