On plain lattice points whose coordinates are reciprocals modulo a prime

We consider, for a given large prime p, the problem of covering a square [0, p] × [0, p] with discs center at the lattice point (x, y), x and y subject to condition xy ≡ 1 (mod p) and with radius r. We are concerned with the size of r.

Saved in:
Bibliographic Details
Published inNagoya mathematical journal Vol. 147; pp. 137 - 146
Main Authors Fujii, Akio, Kitaoka, Yoshiyuki
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.1997
Nagoya University
名古屋大学
Duke University Press
Subjects
11L05
11P21
Online AccessGet full text

Cover

More Information
Summary:We consider, for a given large prime p, the problem of covering a square [0, p] × [0, p] with discs center at the lattice point (x, y), x and y subject to condition xy ≡ 1 (mod p) and with radius r. We are concerned with the size of r.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000006358