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Durham University

Department of Mathematical Sciences


This week's seminars

Arithmetic Study Group: Lacunary discrete spherical averages

Presented by Kevin Hughes, University of Bristol

15 October 2019 13:00 in CM219

We will discuss an arithmetic version of Stein's spherical averages. Their associated full maximal function was studied by Magyar--Stein--Wainger and Ionescu who gave the sharp range of estimates. Magyar subsequently proved that the associated ergodic averages converge almost everywhere. In analogy with Stein's spherical averages, one would expect the lacunary averages to have much better behavior. We will show that to some extent they do, but with surprising limitations.

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Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.