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On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition

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Abstract

Asymptotic formulas with remainder for the number of representations of a pair of integers by quadratic and linear forms with a congruential condition are proved.

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Correspondence to U. M. Pachev.

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Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 726–737 https://doi.org/10.4213/mzm13344.

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Pachev, U.M., Khalilova, L.A. On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Forms with Congruential Condition. Math Notes 111, 736–746 (2022). https://doi.org/10.1134/S0001434622050078

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  • DOI: https://doi.org/10.1134/S0001434622050078

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