DUALITY IN SIEGEL'S THEOREM ON REPRESENTATIONS BY A GENUS OF QUADRATIC FORMS, AND THE AVERAGING OPERATOR

DUALITY IN SIEGEL'S THEOREM ON REPRESENTATIONS BY A GENUS OF QUADRATIC FORMS, AND THE AVERAGING OPERATOR
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二次型属表示的西格尔定理中的对偶性和平均算子

DOI:
10.1070/sm1985v050n01abeh002567
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发表时间:
1985
期刊:
Mathematics of The Ussr-sbornik
影响因子:
--
通讯作者:
A. Andrianov
A. Andrianov
中科院分区:
--
文献类型:
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作者:
A. Andrianov

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设和是两个具有相同变量数的整正定二次型,和分别是和的亏格中不同类的代表的完备系统。作者证明,特别是,其中表示的形式的整数表示的形式的数量,和。参考书目:6标题。
Let and be two integral positive definite quadratic forms in the same number of variables, and let and be complete systems of representatives of the different classes in the genus of the form and , respectively. The author proves, in particular, that where denotes the number of integral representations of the form by the form , and .Bibliography: 6 titles.
DOI: 10.1070/rm1979v034n01abeh002872
发表时间: 1979-02
影响因子: 0.9
作者:
A. Andrianov
通讯作者: A. Andrianov