Initial regularity in the landscapes of L-functions

Appears in collection : 2026 - T1 - WS3 - Integrating Research and Illustration in Number Theory

The collection of all L-functions can be visualized as points in euclidean spaces called landscapes. The first few points in each landscape appear to lie close to an arithmetic progression. Visualizations of the L-functions and their zeros led to an explanation for this initial regularity.

Information about the video

Date of recording 26/03/2026
Date of publication 19/05/2026
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Service audiovisuel de l'IHP
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2026.T1.WS3.015
Cite this video Koutsoliotas, Sally (26/03/2026). Initial regularity in the landscapes of L-functions. IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T1.WS3.015
URL https://dx.doi.org/10.57987/IHP.2026.T1.WS3.015