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Sbornik: Mathematics, 2018, Volume 209, Issue 4, Pages 491–502
DOI: https://doi.org/10.1070/SM8848 (Mi sm8848) 		 
On Novák numbers

A. B. Kalmynin

National Research University "Higher School of Economics" (HSE), Moscow
English version PDF (472 kB) Russian version article
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DOI: https://doi.org/10.1070/SM8848
Abstract: New lower bounds are obtained for the number $\mathscr N_{\mathrm B}(x)$ of Novák numbers not exceeding the given quantity $x$. In addition, conditioned on the generalized Riemann Hypothesis, upper bounds are found for the number of prime factors of Novák numbers and a description of the prime factors of Novák numbers $N$ such that $2N$ is a Novák-Carmichael number is presented.
Bibliography: 7 titles.
Keywords: Novák numbers, primes, large sieve.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
Möbius Contest
Simons Foundation
Dobrushin Foundation
The author is partially supported by Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. no. 14.641.31.0001, by the young scientists support foundation “Möbius Contest”, the Simons Foundation and also the Dobrushin Foundation.
Received: 18.10.2016 and 03.04.2017
Bibliographic databases:
Document Type: Article
UDC: 511.216+511.335
MSC: 11A07, 11A41
Language: English
Original paper language: Russian
Citation: A. B. Kalmynin, “On Novák numbers”, Sb. Math., 209:4 (2018), 491–502
Citation in format AMSBIB
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\paper On Nov\'ak numbers
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    References:63
    First page:47
     
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