Estimates on Lattice Points in the Circle

Published 8 Sep 2014 in math.NT | (1409.2446v1)

Abstract: This paper provides estimates on the difference between the number of integer lattice points an a circle centered at the origin and the area. The estimates have the form "Big O" of the product of logarithm of the radius and the radius raised to a power 2b. The simplest new estimate obtained is b = 5/16; the best is b = 1507/4875 = .309128205...

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Authors (1)

Julius L. Shaneson

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