On the difference in values of the Euler totient function near prime arguments
Number Theory
2021-02-05 v2
Abstract
We prove unconditionally that for each , the difference is positive for of odd primes and negative for .
Cite
@article{arxiv.1706.00392,
title = {On the difference in values of the Euler totient function near prime arguments},
author = {Stephan Ramon Garcia and Florian Luca},
journal= {arXiv preprint arXiv:1706.00392},
year = {2021}
}
Comments
21 pages; to appear in "Irregularities in the Distribution of Prime Numbers" (edited by M. Rassias, J. Pintz), Springer