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On a question of regarding visibility of lattice points

Published online by Cambridge University Press:  26 February 2010

Sukumar Das Adhikari
Affiliation:
Mehta Research Institute, 10, Kasturba Gandhi Marg, (Old Kutchery Road), Allahabad-221 002, India
R. Balasubramanian
Affiliation:
Institute of Mathematical Sciences, Madras-600 113, India
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Extract

Let Δn = {(x, y): x, y are integers 1 ≤ x, y ≤ n} be the n x n square array of integer lattice points in the plane.

MSC classification

Type
Research Article
Copyright
Copyright © University College London 1996

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References

1.Abbott, H. L.. Some results in combinatorial Geometry. Discrete Mathematics, 9 (1974), 199204.CrossRefGoogle Scholar
2.Erdős, P.. On the integers relatively prime to n and on a number-theoretic function considered by Jacobsthal. Math. Scand., 10 (1962), 163170.CrossRefGoogle Scholar
3.Iwaniec, H.. On the error term in the linear sieve. Acta Arithmetica, 19 (1971), 130.CrossRefGoogle Scholar
4.Kanold, H. J.. Über eine zahlentheoretische Funktion von Jacobsthal. Math. Ann., 170 (1967), 314326.CrossRefGoogle Scholar
5.Stevens, H.. On Jacobsthal's g(n)-function. Math. Ann., 226 (1977), 9597.CrossRefGoogle Scholar
6.Vaughan, R. C.. On the order of magnitude of Jacobsthal's function. Proc. Edinburgh Math. Soc, 20 (1976-1977), 329331.CrossRefGoogle Scholar