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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 881–886
DOI: https://doi.org/10.4213/mzm11409 (Mi mzm11409) 		 
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
Full-text PDF (395 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11409
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
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 847–851
DOI: https://doi.org/10.1134/S0001434616110249
Bibliographic databases:
Document Type: Article
UDC: 511.512
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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