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, 2003, Volume 73, Issue 3, Pages 423–436
DOI: https://doi.org/10.4213/mzm192 (Mi mzm192) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Primes in Special Intervals and Additive Problems with Such Numbers

M. E. Changa

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (230 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm192
Abstract: We study primes in a special set $E$ which is naturally described by the fractional part of $p^a$, where $a<1$ is a noninteger. An asymptotic formula with power lowering in the remainder of the trigonometric sum over primes from the set $E$ is obtained. We study several applications of this result to problems of the distribution of primes from $E$ in arithmetic progressions and to additive problems with primes from $E$.
Received: 25.06.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 3, Pages 389–401
DOI: https://doi.org/10.1023/A:1023270112701
Bibliographic databases:
UDC: 511
Language: Russian
Citation: M. E. Changa, “Primes in Special Intervals and Additive Problems with Such Numbers”, Mat. Zametki, 73:3 (2003), 423–436; Math. Notes, 73:3 (2003), 389–401
Citation in format AMSBIB
\Bibitem{Cha03}
\by M.~E.~Changa
\paper Primes in Special Intervals and Additive Problems with Such Numbers
\jour Mat. Zametki
\yr 2003
\vol 73
\issue 3
\pages 423--436
\mathnet{http://mi.mathnet.ru/mzm192}
\crossref{https://doi.org/10.4213/mzm192}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1992601}
\zmath{https://zbmath.org/?q=an:1108.11064}
\elib{https://elibrary.ru/item.asp?id=13416944}
\transl
\jour Math. Notes
\yr 2003
\vol 73
\issue 3
\pages 389--401
\crossref{https://doi.org/10.1023/A:1023270112701}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000182776700009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0242324615}
Linking options:
  • https://www.mathnet.ru/eng/mzm192
  • https://doi.org/10.4213/mzm192
  • https://www.mathnet.ru/eng/mzm/v73/i3/p423
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025