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Polynomization of problems in Number theory related to the Dedekind eta function

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Bernhard Heim
RWTH Aachen
Mit, 15/12/2021 - 14:30 - 15:30
Parent event: 
Number theory lunch seminar

For zoom details contact Pieter Moree (

(joint work with M. Neuhauser)

In this talk I will report on recent results towards the root distribution of D'Arcais type polynomials
(the shifted Nekrasov-Okounkov polynomials). There are applications towards the Lehmer conjecture on the Ramanujan
tau-function, q-expansion of reciprocals of Eisenstein series. I will talk also on recent activities on log-concavity and the Bessenrodt-Ono
inequality of the partition function and plane partitions.

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