A New Proof for a Sharp van der Corput's Lemma

作者:Catala de la Torre Carlos A
来源:American Mathematical Monthly, 2015, 122(2): 138-143.
DOI:10.4169/amer.math.monthly.122.02.138

摘要

We give a simple proof of a sharper bound in a van der Corput's lemma found by K. Rogers in 2005. Continuity and a simple system of ODEs are used for proving the sharp bound. This lemma is of special interest in analytic number theory as well as the theory of oscillatory integrals, which appear frequently throughout mathematics.

  • 出版日期2015-2