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Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 296–301
DOI: https://doi.org/10.4213/mzm10314 (Mi mzm10314) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Points of the Modular Hyperbola under the Graph of a Linear Function

A. V. Ustinov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (424 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10314
Abstract: For the number of solutions of the congruence $xy\equiv 1\,(\operatorname{mod} p)$ under the graph of a linear function, an asymptotic formula with square root cancellation in the error term is proved.
Keywords: modular hyperbola, Fourier coefficient.
Funding agency Grant number
Dynasty Foundation
Russian Foundation for Basic Research 14-01-90002
This work was supported by the “Dynasty” Foundation and by the Russian Foundation for Basic Research (grant no. 14-01-90002).
Received: 23.05.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 284–288
DOI: https://doi.org/10.1134/S0001434615010307
Bibliographic databases:
Document Type: Article
UDC: 511.336
Language: Russian
Citation: A. V. Ustinov, “On Points of the Modular Hyperbola under the Graph of a Linear Function”, Mat. Zametki, 97:2 (2015), 296–301; Math. Notes, 97:2 (2015), 284–288
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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