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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 2, Pages 57–59 (Mi vmumm226)  
This article is cited in 2 scientific papers (total in 2 papers)

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The Dirchlet L-function does not vanish for s=1

V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (314 kB) Citations (2)
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Abstract: A new proof of Dirichlet's theorem that a Dirichlet L-series for a prime modulo q≡3(mod4) with a real character does not vanish is given.
Key words: Dirichlet's series, Gaussian sum, “saw-tooth” function.
Received: 27.06.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 2, Pages 96–98
DOI: https://doi.org/10.3103/S0027132215020096
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: V. N. Chubarikov, “The Dirchlet L-function does not vanish for s=1”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2, 57–59; Moscow University Mathematics Bulletin, 70:2 (2015), 96–98
Citation in format AMSBIB
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\paper The Dirchlet $L$-function does not vanish for $s=1$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2015
\issue 2
\pages 57--59
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2015
\vol 70
\issue 2
\pages 96--98
\crossref{https://doi.org/10.3103/S0027132215020096}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928941244}
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  • https://www.mathnet.ru/eng/vmumm226
  • https://www.mathnet.ru/eng/vmumm/y2015/i2/p57
    • This publication is cited in the following 2 articles:
    1. Yan Liu, Ying Li, Chengcheng Hu, Yongbin Wang, 2019 6th International Conference on Dependable Systems and Their Applications (DSA), 2020, 435  crossref
    2. V. N. Chubarikov, “Multiple complete rational arithmetic sums of polynomial values”, Dokl. Math., 97:1 (2018), 15–17  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :62
    References:43
     
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