"Moat lemmas" and mean values of exponential sums

3 February 2014
16:00
Simon Myerson
Abstract
<p><span>In 1997 V.&nbsp;</span><span>Bentkus and F. G</span><span>ötze introduced a technique for estimating $L^p$ norms of certain exponential sums without needing an explicit estimate for the exponential sum itself. One uses instead a kind of estimate I call a "moat lemma". I explain this term, and discuss the implications for several kinds of point-counting problem which we all know and love.</span></p>
  • Junior Number Theory Seminar