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Sbornik: Mathematics, 1996, Volume 187, Issue 9, Pages 1301–1318
DOI: https://doi.org/10.1070/SM1996v187n09ABEH000157 (Mi sm157) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

T. O. Ermolaeva, A. K. Tsikh

Krasnoyarsk State University
English version PDF (871 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM1996v187n09ABEH000157
Abstract: Two methods for computing the integrals of rational functions over $\mathbb R^n$ are considered. The first is applicable to differentials with rational antiderivatives and uses the interpretation of $\mathbb R^n$ as a chain of integration in some toric compactification. The second method is based on the theory of multidimensional residues and the multidimensional version of the Sokhotskii formula for the jump of an integral.
Received: 15.01.1996
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 9, Pages 45–64
DOI: https://doi.org/10.4213/sm157
Bibliographic databases:
UDC: 517.55+515.171.334
MSC: Primary 32A27, 32C30; Secondary 14M25
Language: English
Original paper language: Russian
Citation: T. O. Ermolaeva, A. K. Tsikh, “Integration of rational functions over $\mathbb R^n$ by means of toric compactifications and multidimensional residues”, Mat. Sb., 187:9 (1996), 45–64; Sb. Math., 187:9 (1996), 1301–1318
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:79
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