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

U. M. Pachev ; L. A. Khalilova

Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 726-737.

Résumé

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.

Détail

Keywords: Diophantine system with quadratic and linear forms, congruential condition, asymptotic formula.
Mots-clés : joint invariant

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