Exponential sums, geometry and diffraction of light

von · Apr 3, 2014 · 1 522 Besichtigungen ·

Abstract. We shall discuss exponential sums Sumn exp(2iπtn). In particular, those. In particular, those with tn = an2 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.