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 $q\equiv 3\pmod 4$ 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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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