On the local structure of the set of values of Euler's phi function

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dc.contributor.author Deshouillers, Jean-Marc
dc.contributor.author Eyyunni, Pramod
dc.contributor.author Gun, Sanoli
dc.coverage.spatial Poland
dc.date.accessioned 2021-06-15T14:10:28Z
dc.date.available 2021-06-15T14:10:28Z
dc.date.issued 2021-03
dc.identifier.citation Deshouillers, Jean-Marc; Eyyunni, Pramod and Gun, Sanoli, "On the local structure of the set of values of Euler's phi function", Acta Arithmetica, DOI: 10.4064/aa200722-26-1, vol. 199, no. 1, pp. 103-109, Mar. 2021. en_US
dc.identifier.issn 0065-1036
dc.identifier.issn 1730-6264
dc.identifier.uri https://doi.org/10.4064/aa200722-26-1
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/6566
dc.description.abstract Assuming the validity of diction's conjecture, we show that the set V of values of Euler's torrent function 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.
dc.description.statementofresponsibility by Jean-Marc Deshouillers, Pramod Eyyunni and Sanoli Gun
dc.format.extent vol. 199, no. 1, pp. 103-109
dc.language.iso en_US en_US
dc.publisher Instytut Matematyczny en_US
dc.title On the local structure of the set of values of Euler's phi function en_US
dc.type Article en_US
dc.relation.journal Acta Arithmetica


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