Voronoi's formulae and the Gauss problem
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 1, pp. 53-126

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We present classical and new results on the remainder term in the circle problem. The proofs are based on the application of various versions of Voronoi's formula. Bibliography: 54 titles.
Keywords: the circle problem, long and short intervals.
Mots-clés : Voronoi's formula
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D. A. Popov. Voronoi's formulae and the Gauss problem. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 1, pp. 53-126. http://geodesic.mathdoc.fr/item/RM_2024_79_1_a1/