Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Ust15}
\by A.~V.~Ustinov
\paper On Points of the Modular Hyperbola under the Graph of a Linear Function
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 2
\pages 296--301
\mathnet{http://mi.mathnet.ru/mzm10314}
\crossref{https://doi.org/10.4213/mzm10314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370515}
\zmath{https://zbmath.org/?q=an:06459076}
\elib{https://elibrary.ru/item.asp?id=23421516}
\transl
\jour Math. Notes
\yr 2015
\vol 97
\issue 2
\pages 284--288
\crossref{https://doi.org/10.1134/S0001434615010307}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350557000030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941638061}
Linking options:
  • https://www.mathnet.ru/eng/mzm10314
  • https://doi.org/10.4213/mzm10314
  • https://www.mathnet.ru/eng/mzm/v97/i2/p296
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:424
    Full-text PDF :135
    References:62
    First page:40
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024