Vanishing and non-vanishing of L-series of elliptic curves twisted by Dirichlet characters

We study the behaviour of L -series of elliptic curves twisted by Dirichlet characters. In particular, we study the vanishing and non vanishing of these L -series at the critical point. We present empirical results indicating the vanishing behaviour of cyclic twists of orders 3, 5, 7 and conductors...

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Bibliographic Details
Main Author: Fearnley, Jack
Format: Others
Published: 2001
Online Access:http://spectrum.library.concordia.ca/1324/1/NQ68220.pdf
Fearnley, Jack <http://spectrum.library.concordia.ca/view/creators/Fearnley=3AJack=3A=3A.html> (2001) Vanishing and non-vanishing of L-series of elliptic curves twisted by Dirichlet characters. PhD thesis, Concordia University.