Pick's theorem and Riemann sums: a Fourier analytic tale | Vidéo | Carmin.tv

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

By Giancarlo Travaglini

Appears in collection : 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.

Information about the video

Date of recording 30/11/2020
Date of publication 30/11/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Domain(s)

Number Theory

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. -

MSC codes

00-02 Research exposition

Document(s)

https://www.cirm-math.com/uploads/2/6/6/0/26605521/marseille_beamer_no_pause.pdf

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