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, 2022, Volume 111, Issue 5,Pages <nobr>726

This article is cited in 2 papers

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

U. M. Pachev^ab, L. A. Khalilova^a

^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.

UDC: 511.512

Received: 02.11.2021

DOI: 10.4213/mzm13344