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Turku Symposium on Number Theory in Memory of Kustaa Inkeri
May 31 - June 4, 1999
University of Turku
Turku, Finland

Organizers
Matti Jutila, Tauno Metsänkylä

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Integer points in plane regions and exponential sums
by
Martin Huxley
University of Wales College Cardiff, School of Mathematics, Cardiff, U. K.

How many integer points (m, n) lie inside a large circle, or in the annulus between two circles ? There are approaches by real variable approximation theory, or by Fourier analysis. The same ideas occur in both, and the latest results use both methods at different stages of the argument.

Date received: April 1, 1999

Copyright © 1999 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 # cacf-18.