Interlacing property and the Prime Number Theorem

Time： Thur., 12:00-13:00, Oct. 31, 2024

Venue：BIMSA A4-1

Organizer：Yong Suk Moon, Koji Shimizu

Speaker：Dali Shen

BIMSA-YMSC Number Theory Lunch Seminar

Organizers：

Yong Suk Moon, Koji Shimizu

Speaker：

Dali Shen

Time：

Thur., 12:00-13:00, Oct. 31, 2024

Venue：

BIMSA A4-1

Title：

Interlacing property and the Prime Number Theorem

Abstract:

The interlacing property of Beukers-Heckman, which is used to determine the finiteness of the monodromy groups of the higher-order hypergeometric equations, also appears in the proof by Chebyshev of the weak version of the Prime Number Theorem. I will explain this relationship observed by Rodriguez-Villegas.

DATEOctober 30, 2024

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