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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 3, Pages 342–353 (Mi tmf1653)  

This article is cited in 5 scientific papers (total in 5 papers)

Rational summation of $p$-adic series

B. G. Dragovich

University of Belgrade
Full-text PDF (884 kB) Citations (5)
References:
Abstract: Problem of the rational summation for a wide class of $p$-adic convergent series is considered. Here, rational summation means a method to obtain a rational sum of power series for a rational value of its variable. Formula suitable for this summation is derived. Conditions for rational summability are obtained. Rational summation is possible only for special forms of the series. It is shown that the inverse problem of rational summation is always solvable. This is illustrated by some characteristic examples. Possible rational (adelic) summation of divergent perturbative expansions in string theory, and quantum field theory, is discussed.
Received: 29.09.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 3, Pages 1055–1064
DOI: https://doi.org/10.1007/BF01018570
Bibliographic databases:
Language: Russian
Citation: B. G. Dragovich, “Rational summation of $p$-adic series”, TMF, 100:3 (1994), 342–353; Theoret. and Math. Phys., 100:3 (1994), 1055–1064
Citation in format AMSBIB
\Bibitem{Dra94}
\by B.~G.~Dragovich
\paper Rational summation of $p$-adic series
\jour TMF
\yr 1994
\vol 100
\issue 3
\pages 342--353
\mathnet{http://mi.mathnet.ru/tmf1653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311893}
\zmath{https://zbmath.org/?q=an:0860.11070}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 3
\pages 1055--1064
\crossref{https://doi.org/10.1007/BF01018570}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QP25500004}
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  • https://www.mathnet.ru/eng/tmf1653
  • https://www.mathnet.ru/eng/tmf/v100/i3/p342
  • This publication is cited in the following 5 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
    Statistics & downloads:
    Abstract page:317
    Full-text PDF :105
    References:44
    First page:1
     
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