On the angular distribution of Gaussian integers with fixed norm

P. Erdős, R. R. Hall

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We study the distribution of lattice points a + ib on the fixed circle a2 + b2 = n. Our results apply p.p. to the representable integers n, and we supply bounds for the discrepancy of the distribution, and for the maximum and minimum of the angles between consecutive points. As a corollary, we are able to show that when n is representable then it is almost surely representable with min(a, b) small, with an explicit bound.

Original languageEnglish
Pages (from-to)87-94
Number of pages8
JournalDiscrete Mathematics
Volume200
Issue number1-3
Publication statusPublished - Apr 6 1999

Fingerprint

Gaussian integers
Angular distribution
Norm
Explicit Bounds
Lattice Points
Discrepancy
Consecutive
Corollary
Circle
Angle
Integer

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

On the angular distribution of Gaussian integers with fixed norm. / Erdős, P.; Hall, R. R.

In: Discrete Mathematics, Vol. 200, No. 1-3, 06.04.1999, p. 87-94.

Research output: Contribution to journalArticle

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