Jeffrey Stopple

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A fast new algorithm is used compute the zeros of 10 6 quadratic character L-functions for negative fundamental discrim-inants with absolute value d > 10 12. 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(More)
An algorithm is given to efficiently compute, for large discriminant, L-functions of characters on the class group of a complex quadratic field. This is an analog in conductor aspect of the Odlyzko-Schönhage algorithm to compute the Riemann zeta function. Examples are included for about 21000 L-functions with conductor near 10 7. The data shows good(More)
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