Abstract
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.
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Schedule a callMore From: The American mathematical monthly : the official journal of the Mathematical Association of America
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