Typesetting math: 100%
Quarterly Journal of Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Main page
About this project
Software
Classifications
Links
Terms of Use

Search papers
Search references

RSS
Current issues
Archive issues
What is RSS






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


Quarterly Journal of Mathematics, 2019, Volume 70, Issue 2, Pages 649–674
DOI: https://doi.org/10.1093/qmath/hay060
(Mi qjm5)
 

This article is cited in 8 scientific papers (total in 8 papers)

Sums of Kloosterman sums in the prime geodesic theorem

Olga Balkanovaab, Dmitry Frolenkovcd

a Department of Mathematical Sciences, Chalmers University of Tech- nology
b University of Gothenburg, Chalmers tvärgata 3, 412 96 Gothenburg, Sweden
c National Research University Higher School of Economics, Moscow, Russia
d Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina st., Moscow, 119991, Russia
Citations (8)
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-01
Research of Dmitry Frolenkov is supported by the Foundation for the advance- ment of theoretical physics and Mathematics BASIS and by the Program of the Presidium of the Russian Academy of Sciences 01 ’Fundamental Mathematics and its Applications’ under grant PRAS-18-01.
Received: 12.03.2018
Revised: 02.10.2018
Accepted: 16.10.2018
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/qjm5
  • This publication is cited in the following 8 articles:
    1. Yasufumi Hashimoto, “Universality theorems of Selberg zeta functions for arithmetic groups”, The Quarterly Journal of Mathematics, 75:1 (2024), 219  crossref
    2. Olga Balkanova, Dmitry Frolenkov, “A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight”, Monatsh. Math., 203 (2024), 733–764  mathnet  crossref
    3. Dimitrios Chatzakos, Gergely Harcos, Ikuya Kaneko, “The Prime Geodesic Theorem in Arithmetic Progressions”, International Mathematics Research Notices, 2024  crossref
    4. Yasufumi Hashimoto, “Square integrals of the logarithmic derivatives of Selberg's zeta functions in the critical strip”, Int. J. Number Theory, 19:04 (2023), 747  crossref
    5. Olga Balkanova, Dmitry Frolenkov, Morten S. Risager, “Prime geodesics and averages of the Zagier LL-series”, Math. Proc. Camb. Philos. Soc., 172:3 (2022), 705–728  mathnet  crossref  scopus
    6. Yasufumi Hashimoto, “Selberg's zeta function for the modular group in the critical strip”, Mathematische Nachrichten, 294:10 (2021), 1899  crossref
    7. Muharem Avdispahić, Zenan Šabanac, “Gallagherian Prime Geodesic Theorem in Higher Dimensions”, Bull. Malays. Math. Sci. Soc., 43:4 (2020), 3019  crossref
    8. Ikuya Kaneko, “The second moment for counting prime geodesics”, Proc. Japan Acad. Ser. A Math. Sci., 96:1 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:101
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025