Representations by Quaternary Quadratic Forms with Coefficients $1$ , $2$ , $5$ or $10$

preprint2016arXivOpen access

We determine explicit formulas for the number of representations of a positive integer $n$ by quaternary quadratic forms with coefficients $1$ , $2$ , $5$ or $10$ . We use a modular forms approach.

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Representations by Quaternary Quadratic Forms with Coefficients $1$ , $2$ , $5$ or $10$

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Representations by Quaternary Quadratic Forms with Coefficients $1$ , $2$ , $5$ or $10$