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

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

Organizer(s) Madritsch, Manfred ; Rivat, Joël ; Tichy, Robert

Date(s) 30/11/2020 - 01/12/2020

linked URL https://www.cirm-math.com/2257virtual.html

00:00:00 / 00:00:00

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

By Giancarlo Travaglini

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

Citation data

DOI 10.24350/CIRM.V.19682003
Cite this video Travaglini, Giancarlo (30/11/2020). Pick's theorem and Riemann sums: a Fourier analytic tale. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19682003
URL https://dx.doi.org/10.24350/CIRM.V.19682003

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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