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Cotangent sums and Dirichlet L functions

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Speaker: 
John Lewis
Affiliation: 
MIT
Date: 
Fri, 2017-05-26 09:30 - 10:20
Location: 
MPIM Lecture Hall

We define a sequence of finite sums of cotangents at arguments equal to selected rational multiples of π, with the selection made by a certain order-relation algorithm. We then show how these sums are related to information about the location of the zeros of the Dirichlet L function L(s, χ4).

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