An upper bound for the number of points of quadratic forms modulo \(p^3\) (Q2904199)
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scientific article; zbMATH DE number 6063639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound for the number of points of quadratic forms modulo \(p^3\) |
scientific article; zbMATH DE number 6063639 |
Statements
6 August 2012
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quadratic forms
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An upper bound for the number of points of quadratic forms modulo \(p^3\) (English)
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Let \(Q(\mathbf{x})=Q(x_1,x_2,\ldots,x_n)\) be a quadratic form over \(\mathbb{Z}\), let \(p\) be an odd prime and let \(V\) be the set of zeros of \(Q\) in \(\mathbb{Z}_{p^3}^n\). In this paper the author gives an upper bound for the number of solutions of the congruence \(Q(\mathbf{x})\equiv 0\mod p^3\) contained in a box centered in the origin.
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