Deshouillers, Jean-Marc ; Eyyunni, Pramod ; Gun, Sanoli (2021) On the local structure of the set of values of Euler's φvarphi function arXiv preprint arXiv:2001.05944 .
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Abstract
Assuming the validity of Dickson's conjecture, we show that the set V of values of the Euler's totient function φ contains arbitrarily large arithmetic progressions with common difference 4. This leads to the question of proving unconditionally that this set V has a positive upper Banach density.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cornell University. |
| ID Code: | 118035 |
| Deposited On: | 11 May 2021 11:48 |
| Last Modified: | 11 May 2021 11:48 |
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