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Title: | On the local structure of the set of values of Euler's φ function |
Authors: | Eyyunni, Pramod |
Keywords: | Mathematics Euler’s function |
Issue Date: | Mar-2021 |
Publisher: | ARXIV |
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. |
URI: | https://arxiv.org/abs/2001.05944 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11494 |
Appears in Collections: | Department of Mathematics |
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