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This article is cited in 1 scientific paper (total in 1 paper)
On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition
U. M. Pachevab, L. A. Khalilovaa a Kabardino-Balkar State University, Nal'chik
b North-Caucasus Federal University
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.
Keywords:
Diophantine system with quadratic and linear forms, congruential condition, joint invariant, asymptotic formula.
Received: 02.11.2021
Citation:
U. M. Pachev, L. A. Khalilova, “On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition”, Mat. Zametki, 111:5 (2022), 726–737; Math. Notes, 111:5 (2022), 736–746
Linking options:
https://www.mathnet.ru/eng/mzm13344https://doi.org/10.4213/mzm13344 https://www.mathnet.ru/eng/mzm/v111/i5/p726
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Abstract page: | 256 | Full-text PDF : | 41 | References: | 24 | First page: | 19 |
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