Oscillation phenomena for quadratic characters

Oleksiy Klurman
Institut Max-Planck Bonn
https://sites.google.com/site/oleksiyklurman/home

Date(s) : 22/06/2021   iCal
11 h 00 min - 12 h 00 min

Building on the influential ideas of Baker and Montgomery, we discuss progress related to the following three problems:

1) how many real zeros does a typical Fekete polynomial (with coefficients being Legendre symbol) have?

2) How many times does the sum ∑n≤N χD(n) change sign for a typical quadratic character χD?

3) How many real zeros does the theta function have?

The talk will be based on a joint work with Y. Lamzouri and M. Munsch.

Emplacement
Site Sud, Luminy, TPR2, Salle de Séminaire 304-306 (3ème étage)

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