This article is cited in 5 papers

The number of integer points under a parabola

V. N. Popov

Leningrad Department of V. A. Steklov Institute of Mathematics, Academy of Sciences of the USSR

Abstract: The remainder term for the number of integer points under the parabola in the region $0<x\le b\le a$, $0<y\le x^2/a$ admits a bound $O(a^{1/2+c\ln\ln a})$ with the unimprovable exponent 1/2.

UDC: 511

Received: 01.04.1975

 English version: Mathematical Notes, 1975, 18:5, 1007–1010

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