Diagonals of the laurent series of rational functions

被引：8
|
作者：
Pochekutov, D. Yu. [1 ]
机构：
[1] Siberian Fed Univ, Krasnoyarsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 06期
关键词：
diagonal; Laurent series; hyperplane amoeba; separating cycle; local residue; integral representation; algebraic function;
D O I：
10.1007/s11202-009-0119-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the problem of the algebraicity of diagonal series for the Laurent expansions of rational functions, geometrically identifiable using the amoeba of the denominator or an integer point in its Newton polyhedron. We give sufficient conditions for the algebraicity of diagonals basing on the theory of multidimensional residues and topological properties of the complements to collections of complex hypersurfaces in complex analytic varieties.
引用
收藏
页码：1081 / 1091
页数：11
相关论文
共 50 条
  • [21] A Note on Laurent Series of the Octonionic Analytic Functions
    Liao, Jianquan
    Li, Xingmin
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (02) : 415 - 432
  • [22] A Note on Laurent Series of the Octonionic Analytic Functions
    Jianquan Liao
    Xingmin Li
    Advances in Applied Clifford Algebras, 2012, 22 : 415 - 432
  • [23] SERIES OF RATIONAL FUNCTIONS
    GONCHAR, AA
    DOKLADY AKADEMII NAUK SSSR, 1962, 143 (06): : 1246 - &
  • [24] Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry
    Abdelaziz, Youssef
    Boukraa, Salah
    Koutschan, Christoph
    Maillard, Jean-Marie
    SYMMETRY-BASEL, 2022, 14 (07):
  • [25] Rational approximations to algebraic Laurent series with coefficients in a finite field
    Firicel, Alina
    ACTA ARITHMETICA, 2013, 157 (04) : 297 - 322
  • [26] Residue reduced form of a rational function as an iterated Laurent series
    Xin, Guoce
    Zhou, Yue
    ELECTRONIC JOURNAL OF COMBINATORICS, 2013, 20 (01):
  • [27] Asymptotic zero distribution of Laurent-type rational functions
    Papamichael, N
    Pritsker, IE
    Saff, EB
    JOURNAL OF APPROXIMATION THEORY, 1997, 89 (01) : 58 - 88
  • [28] A formal derivative of the Laurent series of a function from one of its rational-fractured approximate functions.
    Biermann, O
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1909, 135 (1/4): : 142 - 145
  • [29] Universal functions as series of rational functions
    Lamprecht, Martin
    Nestoridis, Vassili
    REVISTA MATEMATICA COMPLUTENSE, 2014, 27 (01): : 225 - 239
  • [30] Universal functions as series of rational functions
    Martin Lamprecht
    Vassili Nestoridis
    Revista Matemática Complutense, 2014, 27 : 225 - 239
12345