2021Acta ArithmeticaRequires access

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

Jean‐Marc Deshouillers, Pramod Eyyunni, Sanoli Gun

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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

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What this paper is about

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

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Available 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

Key concepts: Euler's totient function, Mathematics, Euler's formula, Conjecture, Function (biology), Set (abstract data type), Euler characteristic, Pure mathematics

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