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Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

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Integer points close to curves and the circle and divisor problems
by
Martin Huxley
University of Wales, Cardiff

Using the large sieve in the Bombieri-Iwaniec-Mozzochi treatment of exponential sums leads to complicated spacing problems. They can be expressed in terms of counting the integer points close to certain resonance curves. Swinnerton-Dyer's `elementary' method gives non-trivial bounds over wide parameter ranges, and they lead to improvements in classical plane lattice point problems.

Date received: March 21, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caew-47.