On interaction of Hecke-Shimura rings: symplectic versus orthogonal (Q2919671)
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scientific article; zbMATH DE number 6090453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On interaction of Hecke-Shimura rings: symplectic versus orthogonal |
scientific article; zbMATH DE number 6090453 |
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5 October 2012
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Hecke operators
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Hecke-Shimura rings
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interaction mappings
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theta-vector
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theta-functions of integral quadratic forms
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On interaction of Hecke-Shimura rings: symplectic versus orthogonal (English)
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The paper expresses images of the theta-vectors under componentwise action of symplectic Hecke operators in terms of the action of orthogonal Hecke operators by means of the interaction mapping of HS-rings (Hecke-Shimura rings).NEWLINENEWLINEIf \(Q\) is an even singular matrix of given order \(m\) and level. The paper fixes system of representatives of all different classes with respect to integral equivalence of even matrices of the same order, signature, divisor, level and determinant as the matrix \(Q\) and it proves that for every natural number not less than the order \(m\) and the system of representatives of the form, special constructed mapping is a linear ring homomorphism of \(HR-rings\).
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0.8742561936378479
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0.8680392503738403
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0.8113600015640259
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0.7732276320457458
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