On sums involving products and quotients of L-functions over function fields

Jeffrey Lin Thunder

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arXiv · 1310.8572

On sums involving products and quotients of L-functions over function fields

Jeffrey Lin Thunder

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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 $\bq$ with absolute value of the discriminant less than a given bound.

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Jeffrey Lin Thunder. 2013-10-31. On sums involving products and quotients of L-functions over function fields. https://arxiv.org/abs/1310.8572

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