Abstract
Let A be a subset of the integer lattice contained inside a sphere S in . Suppose that for each we know the number of points of A visible from u. Does this information determine the set A uniquely? In this note we answer this question affirmatively, provided the center of the sphere is not a rational point.
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DISCLOSURE STATEMENT
No potential conflict of interest was reported by the authors.
ACKNOWLEDGMENT
The authors wish to thank the anonymous referees for many valuable suggestions.
Additional information
Notes on contributors
Golden Sun
GOLDEN (YAOXIN) SUN University of Alberta, Edmonton, AB T6G 2G1, Canada
Vladyslav Yaskin
VLADYSLAV YASKIN Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1, Canada