multidimensional residues
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scholarly journals A List of Integral Representations for the Diagonal of Power Series of a Rational Function

2021 ◽  
Vol 14 (5) ◽  
pp. 624-631
Author(s):  
Artem V. Senashov ◽  
Keyword(s):  
Power Series ◽  
Integral Representation ◽  
Rational Function ◽  
Integral Representations ◽  
Special Role ◽  
Analytic Hypersurface ◽  
Multidimensional Residues

In this paper we present integral representations for the diagonals of power series. Such representations are obtained by lowering the multiplicity of integration for the previously known integral representation. The procedure for reducing the order of integration is carried out in the framework of the Leray theory of multidimensional residues. The concept of the amoeba of a complex analytic hypersurface plays a special role in the construction of new integral representations

Multidimensional Residues and Polynomial Equations

2006 ◽  
Vol 132 (6) ◽  
pp. 757-804 ◽  
Author(s):  
G. Khimshiashvili
Keyword(s):  
Polynomial Equations ◽  
Multidimensional Residues

Studying the multiple Mellin-Barnes integrals by means of multidimensional residues

1998 ◽  
Vol 39 (2) ◽  
pp. 245-260 ◽  
Author(s):  
O. N. Zhdanov ◽  
A. K. Tsikh
Keyword(s):  
Multidimensional Residues

scholarly journals Multidimensional residues and ideal membership

1998 ◽  
Vol 42 ◽  
pp. 143-152
Author(s):  
A. Perotti
Keyword(s):  
Ideal Membership ◽  
Multidimensional Residues

Multidimensional residues and complexity problems

1996 ◽  
Vol 42 (4-6) ◽  
pp. 449-457 ◽  
Author(s):  
C.A. Berenstein ◽  
A. Yger
Keyword(s):  
Multidimensional Residues

Integration of rational functions over $ \mathbb R^n$ by means of toric compactifications and multidimensional residues

1996 ◽  
Vol 187 (9) ◽  
pp. 1301-1318 ◽  
Author(s):  
T O Ermolaeva ◽  
A K Tsikh
Keyword(s):  
Rational Functions ◽  
Multidimensional Residues

scholarly journals Computing multidimensional residues

1996 ◽  
pp. 135-164 ◽  
Author(s):  
E. Cattani ◽  
A. Dickenstein ◽  
B. Sturmfels
Keyword(s):  
Multidimensional Residues

MULTIDIMENSIONAL RESIDUES AND THEIR APPLICATIONS

1994 ◽  
Vol 26 (3) ◽  
pp. 310-312
Author(s):  
Pierre Dolbeault
Keyword(s):  
Multidimensional Residues

scholarly journals Book Review: Multidimensional residues and their applications

1994 ◽  
Vol 30 (2) ◽  
pp. 309-312
Author(s):  
Phillip A. Griffiths
Keyword(s):  
Multidimensional Residues
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