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Title of Journal: Sib Math J

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Abbravation: Siberian Mathematical Journal

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Springer US

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DOI

10.1016/j.bbrc.2016.04.081

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1573-9260

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Diagonals of the laurent series of rational functi

Authors: D Yu Pochekutov
Publish Date: 2009/12/30
Volume: 50, Issue: 6, Pages: 1081-
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Abstract

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 varietiesThe author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation Grant NSh 2427200801 Siberian Federal University and the Program “Development of the Scientific Potential of Higher School” of the Russian Federal Agency for Education Grant 211/4620

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Other Papers In This Journal:
  1. The hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra
  2. On smoothness of a fundamental solution to a second order hyperbolic equation
  3. An analog of Wald’s identity for random walks with infinite mean
  4. On the subspace L (( x ∧ y ) m ) of S m (∧ 2 ℝ 4 )
  5. Σ-definability of uncountable models of c -simple theories
  6. Locally nilpotent groups containing an element that commutes with only finitely many of its conjugates
  7. Some morphisms of modules over the ring of pseudorational numbers
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