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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 166, Pages 41–48 (Mi into475)
This article is cited in 1 paper

On types of solutions of the Lagrange problem

L. N. Kurtova, N. N. Mot'kina

National Research University "Belgorod State University"

Abstract: In this paper, we present an analysis of some cases where a positive integer cannot be represented by a diagonal quadratic form with four integer variables.

Keywords: quadratic form, trigonometric sum, Gauss sum, comparison, Kloosterman sum, asymptotic formula.

UDC: 511.51

MSC: 11D09

DOI: 10.36535/0233-6723-2019-166-41-48


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