Geodesic
On types of solutions of the Lagrange problem
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 41-48

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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, comparison, Kloosterman sum, asymptotic formula.
Mots-clés : Gauss sum 
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     title = {On types of solutions of the {Lagrange} problem},
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L. N. Kurtova; N. N. Mot'kina. On types of solutions of the Lagrange problem. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 41-48. http://geodesic.mathdoc.fr/item/INTO_2019_166_a3/