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Experimental L-functions

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Speaker: 
Anton Mellit
Affiliation: 
Köln
Date: 
Wed, 2011-03-30 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

An L-function is a Dirichlet series which has an Euler
product, analytic continuation and functional equation of appropriate
type. I will present numerical methods which allow, with reasonable
confidence, to find all L-functions of given type. The method is
applied to find L-functions which should correspond to Calabi-Yau
threefolds with h12=1 on the motivic side and to paramodular cusp
forms of weight 3 on the automorphic side.
 

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