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Dal'nevostochnyi Matematicheskii Zhurnal, 2014, Volume 14, Number 2, Pages 141–155 (Mi dvmg281)  
This article is cited in 2 scientific papers (total in 2 papers)

On the distribution of points on the modular hyperbola

V. I. Bernika, A. V. Ustinovb

a Institute of Mathematics of the National Academy of Sciences of Belarus
b Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: It is known that solutions of determinant equation $\bigl|\begin{smallmatrix} a & x\\ y & z \end{smallmatrix}\bigr|=q$ are uniformly distributed. The article contains similar results when the variables satisfy additional restrictions $(a,x)=1$ or $(a,x,y,z)=1$.
Key words: Kloosterman sums, modular hyperbola.
Received: 16.09.2014
Document Type: Article
UDC: 511.336, 511.335
MSC: Primary 11L05; Secondary 11D45
Language: Russian
Citation: V. I. Bernik, A. V. Ustinov, “On the distribution of points on the modular hyperbola”, Dal'nevost. Mat. Zh., 14:2 (2014), 141–155
Citation in format AMSBIB
\Bibitem{BerUst14}
\by V.~I.~Bernik, A.~V.~Ustinov
\paper On the distribution of points on the modular hyperbola
\jour Dal'nevost. Mat. Zh.
\yr 2014
\vol 14
\issue 2
\pages 141--155
\mathnet{http://mi.mathnet.ru/dvmg281}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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