On sums involving products and quotients of L-functions over function fields
Number Theory
2013-11-01 v1
Abstract
We estimate the sum of products or quotients of -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 -functions is analogous to a result of Schmidt where he estimates the sum of the quotient of two -series, where the sum is over quadratic extensions of with absolute value of the discriminant less than a given bound.
Keywords
Cite
@article{arxiv.1310.8572,
title = {On sums involving products and quotients of L-functions over function fields},
author = {Jeffrey Lin Thunder},
journal= {arXiv preprint arXiv:1310.8572},
year = {2013}
}
Comments
59 pages