Journal
INTERNATIONAL JOURNAL OF NUMBER THEORY
Volume 7, Issue 2, Pages 371-388Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793042111004125
Keywords
Dirichlet L-functions; non-vanishing of L-functions; mollifier method
Categories
Funding
- EPSRC [EP/F041748/1]
- EPSRC [EP/F041748/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/F041748/1] Funding Source: researchfish
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Let C-q(+) be the set of even, primitive Dirichlet characters (mod q). Using the mollifier method, we show that L-(k) (1/2, chi) not equal 0 for almost all the characters chi is an element of C-q(+) when k and q are large. Here L(s, chi) is the Dirichlet L-function associated to the character chi.
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