Quotients of Fermat curves and a Hecke character
نویسندگان
چکیده
We explicitly identify infinitely many curves which are quotients of Fermat curves. We show that some of these have simple Jacobians with complex multiplication by a non-cyclotomic field. For a particular case we determine the local zeta functions with two independent methods. The first uses Jacobi sums and the second applies the general theory of complex multiplication, we verify that both methods give the same result. r 2004 Elsevier Inc. All rights reserved.
منابع مشابه
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عنوان ژورنال:
- Finite Fields and Their Applications
دوره 11 شماره
صفحات -
تاریخ انتشار 2005