The first moment of primitive cubic L-functions with fixed genus
Hong Ziwei (Renmin University of China)
| Wed Sep 23, 04:00-05:00 (4 months from now) | |
| Lecture held in Room 4082, Lawrence East (H13). |
Abstract: We investigate the mean value of the first moment of primitive cubic $L$-functions over $\mathbb{F}_q(T)$ in the non-Kummer setting. Employing a double Dirichlet series approach, we establish an error term of size $q^{(7/8+\epsilon)g}$. Our method significantly reduces computational complexity by avoiding the computation of the residue.
number theory
Audience: researchers in the topic
Series comments: The UNSW Number Theory Seminar has been running in the School of Mathematics and Statistics, UNSW Sydney, since 2015. The seminar usually takes place every two weeks on Wednesdays, 2 - 4 pm, with two talks scheduled each seminar, followed by refreshments and discussions.
| Organizers: | David Harvey, Alina Ostafe* |
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