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Powers of the Dedekind eta function and the Bessenrodt-Ono inequality

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Speaker: 
Bernhard Heim
Affiliation: 
GUtech, Oman
Date: 
Wed, 2020-01-29 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In this talk I present recent results obtained with Markus Neuhauser towards the non-vanishing of the coefficients of the Dedekind eta function in the spirit of G.-C. Rota. This includes Serre’s table, pentagonal numbers, results of Kostant in the context of simple affine Lie algebras and the Lehmer conjecture. In the second part I will talk about partition numbers and the Bessenrodt-Ono inequality.

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