Recent progress on some irrationality questions of Erdős | Vidéo | Carmin.tv

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Recent progress on some irrationality questions of Erdős

Appears in collection : Prime numbers and arithmetic randomness / Nombres premiers et aléa arithmétique

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.

Information about the video

Date of recording 26/06/2025
Date of publication 15/07/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20368403
Cite this video Pratt, Kyle (26/06/2025). Recent progress on some irrationality questions of Erdős. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20368403
URL https://dx.doi.org/10.24350/CIRM.V.20368403

Domain(s)

Number Theory

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/3213/Slides/Pratt_Erdos_irrationality.pdf

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