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On plain lattice points whose coordinates are reciprocals modulo a prime

Published online by Cambridge University Press:  22 January 2016

Akio Fujii  and
Yoshiyuki Kitaoka
Akio Fujii
Affiliation:
Department of Mathematics, Rikkyo University, Toshima-ku, Tokyo 171, Japan, [email protected]
Yoshiyuki Kitaoka
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan, kitaokaOmath.nagoya-u.ac.jp
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Abstract

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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 137 - 146
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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