RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






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


Keldysh Institute preprints, 2017, 141 (Mi ipmp2359)  

This article is cited in 1 scientific paper (total in 1 paper)

On Hermite–Padé approximants for the product of two logarithms

V. G. Lysov


Abstract: The Hermite–Padé approximants for systems of functions, containing $\ln (1 + 1 / z)\ln (1-1 / z)$ are considered. The research is motivated by the number-theoretic applications related to Diophantine approximations for products of logarithms. Two constructions are considered, for which it is possible to find an explicit form of Hermite–Padé approximants. Their asymptotic behavior is studied and convergence is proved.

Keywords: multiple orthogonal polynomials, vector equilibrium problem, irrationality measure.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00614_a
Ministry of Education and Science of the Russian Federation НШ-9119.2016.1


DOI: https://doi.org/10.20948/prepr-2017-141

Full text: PDF file (422 kB)
Full text: http:/.../preprint.asp?id=2017-141&lg=r
References: PDF file   HTML file

Document Type: Preprint
UDC: 517.53

Citation: V. G. Lysov, “On Hermite–Padé approximants for the product of two logarithms”, Keldysh Institute preprints, 2017, 141, 24 pp.

Citation in format AMSBIB
\Bibitem{Lys17}
\by V.~G.~Lysov
\paper On Hermite--Pad\'e approximants for the product of two logarithms
\jour Keldysh Institute preprints
\yr 2017
\papernumber 141
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2359}
\crossref{https://doi.org/10.20948/prepr-2017-141}


Linking options:
  • http://mi.mathnet.ru/eng/ipmp2359
  • http://mi.mathnet.ru/eng/ipmp/y2017/p141

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. G. Lysov, “O diofantovykh priblizheniyakh proizvedeniya logarifmov”, Preprinty IPM im. M. V. Keldysha, 2018, 158, 20 pp.  mathnet  crossref
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
    Number of views:
    This page:29
    Full text:10
    References:4

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018