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

DOI10.1134/S0001434622050078zbMath1505.11068OpenAlexW4283389413MaRDI QIDQ2150603

L. A. Khalilova, U. M. Pachev

Publication date: 30 June 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622050078

zbMATH Keywords

congruential conditionDiophantine system with quadratic and linear formsjoint invariance formula

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Representation problems (11D85)

Cites Work

• On the simultaneous representation of a pair of numbers by sums of integers and their squares
• Singular functions in the problem of the weighted number of integer points on multidimensional hyperboloids of special form
• Über die simultane Darstellung zweier ganzer Zahlen durch quadratische und lineare Formen
• SIMULTANEOUS QUADRATIC AND LINEAR REPRESENTATION
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