Determining L-functions by twists |
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Authors: | H Kisilevsky |
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Institution: | Department of Mathematics and Statistics and CICMA Concordia University, 1455 de Maisonneuve Blvd. West Montréal, Quebec, Canada H3G 1M8 |
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Abstract: | Suppose that L1(s) and L2(s) are two L-functions whose twists by a set of Dirichlet characters simultaneously vanish (vanish mod p) at a critical point. We examine the extent to which this property determines the L-functions in the cases of L-functions of elliptic curves, of number fields, and of curves over finite fields. |
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