B. G. Dragovich, “On $p$-adic aspects of some perturbation series”, TMF, 93:2 (1992), 211–218; Theoret. and Math. Phys., 93:2 (1992), 1225

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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 93, Number 2, Pages 211–218 (Mi tmf1523)

This article is cited in 7 scientific papers (total in 7 papers)

On

p

$p$ -adic aspects of some perturbation series

B. G. Dragovich

University of Belgrade

Full-text PDF (710 kB) Citations (7)

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Abstract: Series with factorial terms, which are of potential interest in quantum field theory and string theory, are considered. Divergent series in the real case are usually

p

$p$ -adic convergent. Using simple and number field invariant methods of summation, rational sums are obtained. Sums of the convergent and divergent counterparts of the same series are connected by adelic summability.

Received: 18.09.1992

English version:
Theoretical and Mathematical Physics, 1992, Volume 93, Issue 2, Pages 1225–1231
DOI: https://doi.org/10.1007/BF01083520

Bibliographic databases:

Language: Russian

Citation: B. G. Dragovich, “On

p

$p$ -adic aspects of some perturbation series”, TMF, 93:2 (1992), 211–218; Theoret. and Math. Phys., 93:2 (1992), 1225–1231

Citation in format AMSBIB

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\transl

\jour Theoret. and Math. Phys.

\yr 1992

\vol 93

\issue 2

\pages 1225--1231

\crossref{https://doi.org/10.1007/BF01083520}

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Linking options:

https://www.mathnet.ru/eng/tmf1523

https://www.mathnet.ru/eng/tmf/v93/i2/p211

This publication is cited in the following 7 articles:

Dragovich B. Khrennikov A.Yu. Misic N.Z., “Summation of P-Adic Functional Series in Integer Points”, Filomat, 31:5 (2017), 1339–1347
Dragovich B. Khrennikov A.Yu. Kozyrev S.V. Volovich I.V. Zelenov E.I., “P-Adic Mathematical Physics: the First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121
Aref'eva I.Ya. Djordjevic G.S. Khrennikov A.Yu. Kozyrev S.V. Rakic Z. Volovich I.V., “P-Adic Mathematical Physics and B. Dragovich Research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85
A. Yu. Morozov, “Are there $p$ -adic knot invariants?”, Theoret. and Math. Phys., 187:1 (2016), 447–454
B. Dragovich, N. Z. Misic, “p-Adic invariant summation of some p-adic functional series”, P-Adic Num Ultrametr Anal Appl, 6:4 (2014), 275
B. G. Dragovich, “Rational summation of $p$ -adic series”, Theoret. and Math. Phys., 100:3 (1994), 1055–1064
B. G. Dragovich, “Adelic model of harmonic oscillator”, Theoret. and Math. Phys., 101:3 (1994), 1404–1412

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

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Abstract page:	294
Full-text PDF :	111
References:	55
First page:	1

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