Lower bounds for small fractional moments of Dirichlet $L$-functions

Details Lower bounds for small fractional moments of Dirichlet $L$-functions Lower bounds for small fractional moments of Dirichlet $L$-functions

2012-01-27

arxiv.org/abs/1201.5682v1

Mathematics

Number Theory

Scientific paper

We prove a lower bound of the correct order of magnitude in the conductor
aspect for small rational moments of Drichlet $L$-functions. Such bounds
require new techniques, which is visible from the relationship to non-vanishing
results for $L(1/2, \chi)$.

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