Abstract
A fast new algorithm is used compute the zeros of 106 quadratic character L-functions for negative fundamental discriminants with absolute value d>1012. These are compared to the 1-level density, including various lower-order terms. These terms come from, on the one hand, the explicit formula, and on the other, the L-functions ratios conjecture. The latter give a much better fit to the data, providing numerical evidence for the conjecture.
Citation
Jeffrey Stopple. "The Quadratic Character Experiment." Experiment. Math. 18 (2) 193 - 200, 2009.
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