Twisted second moment of primitive cubic L-functions
Abstract
We investigate the mean value of the twisted second moment of primitive cubic L-functions over Fq(T) in the non-Kummer setting. Specifically, we study the sum equation* Σ\ primitive\ cubic\\ genus()=g(h1)(h2)|Lq(12, )|2, equation* where Lq(s,) denotes the L-function associated with primitive cubic character . Employing a double Dirichlet series approach, we establish an error term of size
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