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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 651–661
DOI: https://doi.org/10.33048/semi.2022.19.054 (Mi semr1528) 		 
Real, complex and functional analysis

Toric Morphisms and Diagonals of the Laurent Series of Rational Functions

D. Yu. Pochekutov, A. V. Senashov

School of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.054
Abstract: We consider the Laurent series of a rational function in $n$ complex variables and the $n$-dimensional sequence of its coefficients. The diagonal subsequence of this sequence generates the so-called complete diagonal of the Laurent series. We give a new integral representation for the complete diagonal. Based on this representation, we give a sufficient condition for a diagonal to be algebraic.
Keywords: algebraic function, diagonal of Laurent series, generating function, integral representations, toric morphism.
Funding agency Grant number
Russian Science Foundation 20-11-20117
The research is supported by grant of the Russian Science Foundation (project № 20-11-20117).
Received February 1, 2022, published September 2, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.552
MSC: 32A05, 32A27
Language: English
Citation: D. Yu. Pochekutov, A. V. Senashov, “Toric Morphisms and Diagonals of the Laurent Series of Rational Functions”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 651–661
Citation in format AMSBIB
\Bibitem{PocSen22}
\by D.~Yu.~Pochekutov, A.~V.~Senashov
\paper Toric Morphisms and Diagonals of the Laurent Series of Rational Functions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 651--661
\mathnet{http://mi.mathnet.ru/semr1528}
\crossref{https://doi.org/10.33048/semi.2022.19.054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4478138}
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