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This article is cited in 1 scientific paper (total in 1 paper)
On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form
U. M. Pachev, R. A. Dokhov Kabardino-Balkar State University, Nal'chik
Abstract:
The discrete ergodic method is applied to obtain an asymptotic expression for the number of all integer points in a given bounded domain on a three-dimensional hyperboloid of genus determined by the invariants $[w,2]$, where $w$ is odd, such that the first coordinates of these points are divisible by $w$.
Keywords:
discrete ergodic method, ternary quadratic form, number of classes of binary quadratic forms, integer point on a hyperboloid, asymptotic relation.
Received: 18.02.2016
Citation:
U. M. Pachev, R. A. Dokhov, “On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form”, Mat. Zametki, 100:6 (2016), 881–886; Math. Notes, 100:6 (2016), 847–851
Linking options:
https://www.mathnet.ru/eng/mzm11409https://doi.org/10.4213/mzm11409 https://www.mathnet.ru/eng/mzm/v100/i6/p881
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Abstract page: | 276 | Full-text PDF : | 30 | References: | 44 | First page: | 26 |
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