English
Recent progress on some irrationality questions of Erdős
Multi angle
Auteurs : Pratt, Kyle (Auteur de la Conférence)
CIRM (Editeur )
11J72 - "Irrationality; linear independence over a field"
11L03 - Trigonometric and exponential sums, general
11N05 - Distribution of primes
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/3213/Slides/Pratt_Erdos_irrationality.pdf
CIRM (Editeur )
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Résumé :
Paul Erdos posed many interesting problems on the irrationality of various infinite series. We give some history and motivation for these problems. We then describe some of our recent work (conditional and unconditional) on these irrationality questions, and the tools from prime number theory we have used.
Keywords : irrationality, sieves; prime numbers
Codes MSC : Keywords : irrationality, sieves; prime numbers
11J72 - "Irrationality; linear independence over a field"
11L03 - Trigonometric and exponential sums, general
11N05 - Distribution of primes
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/3213/Slides/Pratt_Erdos_irrationality.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 15/07/2025 Date de captation : 26/06/2025 Sous collection : Research talks arXiv category : Number Theory Domaine : Number Theory Format : MP4 (.mp4) - HD Durée : 00:33:37 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-06-26_Pratt.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Prime numbers and arithmetic randomness / Nombres premiers et aléa arithmétiqueOrganisateurs de la rencontre : Elsholtz, Christian ; Ostafe, Alina ; Rivat, Joël ; Stoll, Thomas ; Swaenepoel, Cathy Dates : 23/06/2025 - 27/06/2025 Année de la rencontre : 2025 URL Congrès : https://conferences.cirm-math.fr/3213.html
Données de citation
DOI : 10.24350/CIRM.V.20368403Citer cette vidéo: Pratt, Kyle (2025). Recent progress on some irrationality questions of Erdős. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20368403 URI : http://dx.doi.org/10.24350/CIRM.V.20368403 |
Voir aussi
- [Multi angle] Primes in arithmetic progressions and bounded gaps / Auteur de la Conférence Stadlmann, Julia.
- [Multi angle] Improved bounds for the Fourier uniformity conjecture / Auteur de la Conférence Pilatte, Cédric.
- [Multi angle] A two dimensional delta symbol method and applications / Auteur de la Conférence Li, Junxian.
- [Multi angle] Sums of odd-ly many fractions and the distribution of primes / Auteur de la Conférence Kuperberg, Vivian.
Bibliographie
- PRATT, Kyle. The irrationality of a divisor function series of Erdös and Kac. Acta Arith. 211 (2023), no. 3, 193–228. - http://doi.org/10.4064/aa220927-1-9
- PRATT, Kyle. The irrationality of an infinite series involving ω (n) under a prime tuples conjecture. Journal of Number Theory, 2025. - https://doi.org/10.1016/j.jnt.2025.02.010
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