Alexander Pushnitski: The spectra of some arithmetical matrices.

(04 mars 2024/March 04, 2024) Seminar Spectral Geometry in the clouds.
archimede.mat.ulaval.ca/agiro...
Alexander Pushnitski: The spectra of some arithmetical matrices.
Abstract: A GCD matrix is a (finite or semi-infinite) matrix whose (n,m)’th matrix entry involves the greatest common divisor of n and m. I will discuss what is known about the spectral analysis of such matrices. This question has a classical nature but it came to the attention of analysts in recent years in connection with some questions of analytic number theory.