715 research outputs found
Nonvanishing of quadratic Dirichlet L-functions at s=1/2
We show that for a positive proportion of fundamental discriminants d,
L(1/2,chi_d) != 0. Here chi_d is the primitive quadratic Dirichlet character of
conductor d.Comment: 42 pages, published versio
Smooth numbers in short intervals
Assuming the Riemann hypothesis we demonstrate the existence of smooth
numbers in certain short intervals.Comment: 6 page
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