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Creators/Authors contains: "Illyin, Michael"

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  1. ; (, Journal of number theory)
    This paper is inspired by Richards' work on large gaps between sums of two squares [10]. It is shown in [10] that there exist arbitrarily large values of λ and μ, with certain properties, do not contain any sums of two squares. Geometrically, these gaps between sums of two squares correspond to annuli in a certain area that do not contain any integer lattice points. A major objective of this paper is to investigate the sparse distribution of integer lattice points within annular regions. Examples and consequences are given. . 
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