Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 1, Pages 108–118
DOI: https://doi.org/10.4213/tmf6527 (Mi tmf6527) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Transcendental trace formulas for finite-gap potentials

Yu. V. Brezhnev

Tomsk State University, Tomsk, Russia
Full-text PDF (429 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6527
Abstract: We show that formulas differing from classical analogues of rational trace formulas for algebraic-geometric potentials occur in the theory of finite-gap integration of spectral equations. The new formulas contain transcendental modular functions and hypergeometric series. They result in transcendental relations for theta functions.
Keywords: spectral problem, finite-gap potential, trace formula, modular function.
Received: 16.12.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 1, Pages 920–928
DOI: https://doi.org/10.1007/s11232-010-0073-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Brezhnev, “Transcendental trace formulas for finite-gap potentials”, TMF, 164:1 (2010), 108–118; Theoret. and Math. Phys., 164:1 (2010), 920–928
Citation in format AMSBIB
\Bibitem{Bre10}
\by Yu.~V.~Brezhnev
\paper Transcendental trace formulas for finite-gap potentials
\jour TMF
\yr 2010
\vol 164
\issue 1
\pages 108--118
\mathnet{http://mi.mathnet.ru/tmf6527}
\crossref{https://doi.org/10.4213/tmf6527}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...164..920B}
\elib{https://elibrary.ru/item.asp?id=15327128}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 164
\issue 1
\pages 920--928
\crossref{https://doi.org/10.1007/s11232-010-0073-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000280650600007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955299573}
Linking options:
  • https://www.mathnet.ru/eng/tmf6527
  • https://doi.org/10.4213/tmf6527
  • https://www.mathnet.ru/eng/tmf/v164/i1/p108
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024