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Lower Bounds for Small Fractional Moments of Dirichlet L-Functions.

Authors :
Chandee, Vorrapan
Li, Xiannan
Source :
IMRN: International Mathematics Research Notices. Sep2013, Vol. 2013 Issue 19, p4349-4381. 33p.
Publication Year :
2013

Abstract

We prove a lower bound of the correct order of magnitude in the conductor aspect for small rational moments of Dirichlet L-functions. Such bounds require new techniques, which is visible from the relationship to nonvanishing results for . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10737928
Volume :
2013
Issue :
19
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
90504929
Full Text :
https://doi.org/10.1093/imrn/rns185