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Lattice points in a circle whose distances from the center arein an arithmetic progression

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Abstract

An asymptotic formula is derived for the number of integral points in a circle, the squares of whose distances from the center of the circle belong to an arithmetic progression.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 8, No. 6, pp. 787–798, December, 1970.

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Varbanets, P.D. Lattice points in a circle whose distances from the center arein an arithmetic progression. Mathematical Notes of the Academy of Sciences of the USSR 8, 917–923 (1970). https://doi.org/10.1007/BF01673695

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  • DOI: https://doi.org/10.1007/BF01673695

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