On the number of representations of positive integers by some quadratic forms in fourteen variables (Q2702987)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of representations of positive integers by some quadratic forms in fourteen variables |
scientific article |
Statements
7 November 2001
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positive quadratic forms
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entire modular forms
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theta-functions
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On the number of representations of positive integers by some quadratic forms in fourteen variables (English)
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Explicit formulas for the number of representations of integers by the following quadratic forms \(f_i\) are proved: NEWLINENEWLINENEWLINE\(f_1= x_1^2+\cdots+ x_{12}^2+ 2(x_{13}^2+ x_{14}^2)\) and \(f_2= x_1^2+ x_2^2+ 2(x_3^2+\cdots+ x_{14}^2)\).
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