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

Related News

0
BIMSA-YMSC Number Theory Lunch Seminar | The twin prime conjecture and Zhang's work on it
This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results. Instead, we encourage each speaker to discuss either (1) a basic notion in Number Theory or related fields or (2) applications or computational aspects of Number Theory. People interested in Number Th...
1
Seminar on periods and motives | Rational K\pi 1 property for Reimann surfaces
Abstract：In the study of mixed elliptic motives, we noticed the importance for rational K\pi 1 property on some bar complex arising from mixed elliptic motives. Since its bar complex is some what complicated, it will be useful to consider some easier case, the case for Riemann surfaces.Rational fundamental group of Riemann surface is desribed by Sullivan's old paper, but it seems that rational...