00:00:00 / 00:00:00

Pick's theorem and Riemann sums: a Fourier analytic tale

By Giancarlo Travaglini

Appears in collections : Number Theory, Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1

We show a connection between Fourier series and a celebrated theorem of G. Pick on the number of integer points in an integer polygon. Then we discuss an Euler-Maclaurin formula over polygons.

Informations about the video

Bibliography

  • BECK, Matthias et ROBINS, Sinai. Computing the continuous discretely. second edition Berlin : Springer science+ Business media, LLC, 2015. - http://dx.doi.org/10.1007/978-1-4939-2969-6
  • STEIN, E. M. et WEISS, G. Introduction to Fourier Analysis on Euclidean Spaces (Princeton University Press, Princeton, 1971). Princeton Mathematical Series, no 32. -

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorites collections
Give feedback