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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 376–388 (Mi smj31)  
This article is cited in 3 scientific papers (total in 3 papers)

On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients

U. M. Pachev

Kabardino-Balkar State University
Full-text PDF (243 kB) Citations (3)
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Abstract: For the quadratic forms mentioned in the title, we use the discrete ergodic method to obtain asymptotic formulas with remainders depending on the $L$-Dirichlet function $L(s,\chi)$ and its behavior under some hypotheses.
Keywords: discrete ergodic method, reduced binary quadratic form, divisibility of coefficients, second-order vector-matrix.
Received: 20.09.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 2, Pages 300–310
DOI: https://doi.org/10.1007/s11202-007-0031-3
Bibliographic databases:
UDC: 511.512
Language: Russian
Citation: U. M. Pachev, “On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients”, Sibirsk. Mat. Zh., 48:2 (2007), 376–388; Siberian Math. J., 48:2 (2007), 300–310
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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