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LATTICE POINTS CLOSE TO A SMOOTH CURVE AND SQUAREFULL NUMBERS IN SHORT INTERVALS

Published online by Cambridge University Press:  24 March 2003

OGNIAN TRIFONOV
OGNIAN TRIFONOV
Affiliation:
Mathematics Department, University of South Carolina, Columbia, SC 29208, USA; trifonov@math.sc.edu
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Abstract

An approach of Swinnerton-Dyer is extended to obtain new upper bounds for the number of lattice points close to a smooth curve. One consequence of these bounds is a new asymptotic result for the distribution of squarefull numbers in short intervals.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 303 - 319
Copyright
The London Mathematical Society, 2002

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