On the local structure of the set of values of Euler’s $\varphi $ function

Jean-Marc Deshouillérs, Pramod Eyyunni, Sanoli Gun

Type: Article

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa200722-26-1

Abstract

Assuming the validity of Dickson’s conjecture, we show that the set $\mathcal {V}$ of values of Euler’s totient function $\varphi $ contains arbitrarily large arithmetic progressions with common difference 4. This leads to the question of proving uncondit

Locations

Acta Arithmetica - View
arXiv (Cornell University) - View - PDF

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