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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 376–388
(Mi smj31)
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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
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
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
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https://www.mathnet.ru/eng/smj31 https://www.mathnet.ru/eng/smj/v48/i2/p376
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Abstract page: | 255 | Full-text PDF : | 71 | References: | 42 |
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