Geodesic
Toric Morphisms and Diagonals of the Laurent Series of Rational Functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 651-661

Voir la notice de l'article provenant de la source Math-Net.Ru

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, generating function, integral representations, toric morphism.
Mots-clés : diagonal of Laurent series 
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     author = {D. Yu. Pochekutov and A. V. Senashov},
     title = {Toric {Morphisms} and {Diagonals} of the {Laurent} {Series} of {Rational} {Functions}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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D. Yu. Pochekutov; A. V. Senashov. Toric Morphisms and Diagonals of the Laurent Series of Rational Functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 651-661. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a50/