Manchester Number Theory Seminar - Lucile Devin
| Dates: | 1 November 2022 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Lucile Devin (Universite Littoral Cote d'Opale)
Title: Extending the unconditional support in an Iwaniec-Luo-Sarnak family
Abstract: We study the harmonically weighted one-level density of low-lying zeros of L-functions attached to holomorphic cusps forms of fixed even weight k and prime level tending to infinity. This family was proved to be of orthogonal type by Iwaniec, Luo and Sarnak who obtained the predicted main term for test functions having Fourier transform supported in (-3/2, 3/2) unconditionally. Using zero-density estimates for Dirichlet L-function, we extend this admissible support to (-\theta_k, \theta_k), where \theta_2 = 1.866... and \theta_k -> 2 as k grows.
This is joint work with Daniel Fiorilli and Anders Södergren.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
