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Matematicheskie Zametki, 2020, Volume 108, Issue 3, paper published in the English version journal (Mi mzm12883)  
This article is cited in 3 scientific papers (total in 3 papers)

Papers published in the English version of the journal

Fractional Parts of Noninteger Powers of Primes

A. V. Shubin

Moscow Institute of Physics and Technology, Dolgoprudny, 141701 Russia
Citations (3)
Abstract: Let $\alpha > 0$ be any fixed noninteger. In the paper, we prove an analogue of the Bombieri–Vinogradov theorem for the set of primes $p$ satisfying the condition $\{ p^{\alpha} \} < 1/2$. This generalizes the previous result of Gritsenko and Zinchenko.
Keywords: prime numbers, arithmetic progressions, fractional parts, Bombieri–Vinogradov theorem, exponential sums.
Received: 30.04.2020
English version:
Mathematical Notes, 2020, Volume 108, Issue 3, Pages 394–408
DOI: https://doi.org/10.1134/S0001434620090084
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. V. Shubin, “Fractional Parts of Noninteger Powers of Primes”, Math. Notes, 108:3 (2020), 394–408
Citation in format AMSBIB
\Bibitem{Shu20}
\by A.~V.~Shubin
\paper Fractional Parts of Noninteger Powers of Primes
\jour Math. Notes
\yr 2020
\vol 108
\issue 3
\pages 394--408
\mathnet{http://mi.mathnet.ru/mzm12883}
\crossref{https://doi.org/10.1134/S0001434620090084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4170902}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000584617700008}
\elib{https://elibrary.ru/item.asp?id=46971826}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85112466437}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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