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A Divisor Problem Attached to Regular Quadratic Forms*

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Abstract

Let f(x1, . . . , xs) (s ≥ 3) be a regular quadratic form with integral variables. We study the number of divisors of f(x1, . . . , xs) on average. We establish an asymptotic formula of the sum of these divisors.

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Correspondence to Huafeng Liu.

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*This work is supported by Natural Science Foundation of Shandong Province (grant No. ZR2018BA006) and National Natural Science Foundation of China (grant Nos. 11801328, 11771256).

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Liu, H. A Divisor Problem Attached to Regular Quadratic Forms*. Lith Math J 59, 169–184 (2019). https://doi.org/10.1007/s10986-019-09436-x

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  • DOI: https://doi.org/10.1007/s10986-019-09436-x

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