ON PLAIN LATTICE POINTS WHOSE COORDINATES ARE RECIPROCALS MODULO A PRIME

Authors
Citation
A. Fujii et Y. Kitaoka, ON PLAIN LATTICE POINTS WHOSE COORDINATES ARE RECIPROCALS MODULO A PRIME, Nagoya Mathematical Journal, 147, 1997, pp. 137-146
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00277630
Volume
147
Year of publication
1997
Pages
137 - 146
Database
ISI
SICI code
0027-7630(1997)147:<137:OPLPWC>2.0.ZU;2-8
Abstract
We consider, for a given large prime p, the problem of covering a squa re [0, p] x [0, p] with discs center at the lattice point (x, y), x an d y subject to condition xy equivalent to 1 (mod p) and with radius r. We are concerned with the size of r.