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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 - MaRDI portal

On an asymptotics of the number of representations of a pair of integers by quadratic and linear forms with congruential condition (Q2150603)

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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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    On an asymptotics of the number of representations of a pair of integers by quadratic and linear forms with congruential condition (English)
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    30 June 2022
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    The authors prove asymptotic formulas with remainder terms for the number of representations of a pair of integers by quadratic and linear forms with a congruential condition. The proof modifies the procedure in a paper by \textit{A. A. Walfisz} [Acta Arith. 35, 289--301 (1979; Zbl 0348.10013)]
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    Diophantine system with quadratic and linear forms
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    congruential condition
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    joint invariance formula
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