Computing L-functions with large conductor
نویسنده
چکیده
An algorithm is given to efficiently compute L-functions with large conductor in a restricted range of the critical strip. Examples are included for about 24000 dihedral Galois representations with conductor near 107. The data shows good agreement with a symplectic random matrix model.
منابع مشابه
Odlyzko-schönhage Algorithm in Conductor Aspect
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 21000L-functions with conductor near 10. The data shows good agreement with a symplectic random matrix model.
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عنوان ژورنال:
- Math. Comput.
دوره 76 شماره
صفحات -
تاریخ انتشار 2007