89. Mathematical Colloquium

Michel Mendes France

EXPONENTIAL SUMS, GEOMETRY AND DIFFRACTION OF LIGHT

Thursday April 3, 2014, 15:40
room S5, 2nd floor
Malostranské nám. 25
118 00 Praha 1

Abstract

We shall discuss exponential sums $\sum_n\exp(2i\pi t_n)$. In particular, those with $t_n= an^2$ where $a$ is a real irrational coefficient. A visual analysis of these sums reveals the arithmetical properties of the constant $a$. If time permits we show M. Berry's application to diffraction.