This article is cited in 2 papers

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

P. D. Varbanets

I. I. Mechnikov Odessa State University

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.

UDC: 511

Received: 30.10.1968

 English version: Mathematical Notes, 1970, 8:6, 917–923

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