Conjecture " Epsilon " for Weight
نویسنده
چکیده
where Frob^ G Gal(Q/Q) is a Frobenius element at p. Then we say that p arises from ƒ. In [Se 2], Serre conjectures that every such p arises from some cusp form ƒ. He furthermore gives a procedure for determining from p the type (N,k,e) of a modular form which gives rise to it. A second conjecture found in [Se 1], implied by the conjecture above, asserts that in certain cases if such a p arises from a modular form then it arises from one of the predicted level. This second conjecture was isolated in the case of weight two and dubbed "Epsilon" because it was sufficient due
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تاریخ انتشار 2007