Abstract
We estimate the sum of products or quotients of $L$-functions, where the sum is taken over all quadratic extensions of given genus over a fixed global function field. Our estimate for the sum of the quotient of two $L$-functions is analogous to a result of Schmidt where he estimates the sum of the quotient of two $L$-series, where the sum is over quadratic extensions of $\mathbb{Q}$ with absolute value of the discriminant less than a given bound.
Citation
Jeffrey Lin Thunder. "On sums involving products and quotients of $L$-functions over function fields." Funct. Approx. Comment. Math. 53 (2) 249 - 304, December 2015. https://doi.org/10.7169/facm/2015.53.2.5
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