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Mathematics of the USSR-Sbornik, 1990, Volume 66, Issue 2, Pages 447–460
DOI: https://doi.org/10.1070/SM1990v066n02ABEH001181
(Mi sm2980)
 

Local volume computations in the Siegel–Tamagawa formula

V. E. Voskresenskii
References:
Abstract: The author studies the local factors in Siegel–Tamagawa products and the products themselves. To do this he examines integral structures in linear algebraic groups and gives a construction of an invariant density which induces the canonical Haar measure at $p$-adic places. The local volume computations reduce to the study of the factors at places of bad reduction. An exact expression is obtained for the weight of the genus of a unimodular lattice.
Bibliography: 13 titles.
Received: 30.11.1987
Bibliographic databases:
UDC: 512.7
Language: English
Original paper language: Russian
Citation: V. E. Voskresenskii, “Local volume computations in the Siegel–Tamagawa formula”, Math. USSR-Sb., 66:2 (1990), 447–460
Citation in format AMSBIB
\Bibitem{Vos89}
\by V.~E.~Voskresenskii
\paper Local volume computations in the Siegel--Tamagawa formula
\jour Math. USSR-Sb.
\yr 1990
\vol 66
\issue 2
\pages 447--460
\mathnet{http://mi.mathnet.ru//eng/sm2980}
\crossref{https://doi.org/10.1070/SM1990v066n02ABEH001181}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=997894}
\zmath{https://zbmath.org/?q=an:0706.11020|0691.10014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY49300010}
Linking options:
  • https://www.mathnet.ru/eng/sm2980
  • https://doi.org/10.1070/SM1990v066n02ABEH001181
  • https://www.mathnet.ru/eng/sm/v180/i4/p443
  • Citing articles in Google Scholar: Russian citations, English citations
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    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:300
    Russian version PDF:105
    English version PDF:11
    References:47
    First page:1
     
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