Integer Points

Anatolij A. Karatsuba and Melvyn B. Nathanson
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Anatolij A. Karatsuba: Steklov Mathematical Institute
Melvyn B. Nathanson: School of Mathematics, Institute for Advanced Study

Chapter Chapter I in Basic Analytic Number Theory, 1993, pp 1-26 from Springer

Abstract: Abstract In this chapter we consider two fundamental problems in the theory of integer points: Gauss’s problem on the number of integer points inside a circle, and the Dirichlet divisor problem. We shall assume that a Cartesian coordinate (x, y) system has been defined on the plane.

Keywords: Asymptotic Formula; Fractional Part; Integer Point; Divisor Problem; Partial Summation (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-3-642-58018-5_1

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