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Pick's theorem and Riemann sums: a Fourier analytic tale
Virtualconference
Authors : Travaglini, Giancarlo (Author of the conference)
CIRM (Publisher )
00-02 - Research exposition (monographs, survey articles)
Additional resources :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/marseille_beamer_no_pause.pdf
CIRM (Publisher )
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Abstract :
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.
Keywords : integer points; Pick's theorem; Euler-Maclaurin summation formula
MSC Codes : Keywords : integer points; Pick's theorem; Euler-Maclaurin summation formula
00-02 - Research exposition (monographs, survey articles)
Additional resources :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/marseille_beamer_no_pause.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 30/11/2020 Conference Date : 30/11/2020 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Analysis and its Applications ; Geometry ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:56:12 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/Travaglini CIRM nov 30.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1Event Organizers : Madritsch, Manfred ; Rivat, Joël ; Tichy, Robert Dates : 30/11/2020 - 01/12/2020 Event Year : 2020 Event URL : https://www.cirm-math.com/2257virtual.html
Citation Data
DOI : 10.24350/CIRM.V.19682003Cite this video as: Travaglini, Giancarlo (2020). Pick's theorem and Riemann sums: a Fourier analytic tale. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19682003 URI : http://dx.doi.org/10.24350/CIRM.V.19682003 |
See Also
- [Virtualconference] Greedy energy minimization and the van der Corput sequence (part 3) / Author of the conference Pausinger, Florian.
- [Virtualconference] Discrepancy of stratified samples from partitions of the unit cube (part 2) / Author of the conference Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 2) / Author of the conference Chen, William.
- [Virtualconference] Feynman Checkers: Number theory methods in quantum theory / Author of the conference Ustinov, Alexey ; Author of the conference Skopenkov, Mikhail.
- [Virtualconference] On two different topics in discrepancy theory: From the discrepancy of stratified samples to greedy energy minimization (part 1) / Author of the conference Pausinger, Florian.
- [Virtualconference] Billiard orbits and geodesics in non-integrable flat dynamical systems (part 1) / Author of the conference Chen, William.
- [Virtualconference] On the interplay between uniform distribution, discrepancy, and energy minimization / Author of the conference Bilyk, Dmitriy.
- [Virtualconference] Local and global statistics for point sequences / Author of the conference Aistleitner, Christoph.
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. -
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