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Computing -functions with large conductor
Authors:Jeffrey Stopple
Institution:Department of Mathematics, University of California Santa Barbara, Santa Barbara, California 93106-0001
Abstract: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 $ 10^7$. The data shows good agreement with a symplectic random matrix model.

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