On generating functions for cubic polynomials

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Allyson Borger, Kirsten Eisentraeger, Jack Huizenga, Mihran Papikian, Ae Ja Yee, John Lesieutre.

Speaker: Bob Vaughan, PSU

Abstract: Jointly with Julia Brandes, Scott Parsell, Constantinos Poulias and George Shakan we obtain more precise expressions than hitherto for the exponential sum $\sum_{n\le P} e(\alpha_1 n + \alpha_3 n^3).$ The original stimulus was an application in additive number theory. However there is also an application to PDEs, and in particular we completely solve a problem of Erdo\u gan and Shakan related to the fractal dimension of solutions of Airy's, Schroedinger's and the Korteweg-de Vries' equations.

Room Reservation Information

Room Number: 106 McAllister

Date: 09/26/2019

Time: 11:00am - 11:50am