The first moment of primitive cubic L-functions with fixed genus
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.
Speakers 1
HZ
Hong Ziwei
Past sessions
Institutions
University of New South Wales
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