L-Functions for Symmetric Products of Kloosterman Sums
نویسندگان
چکیده
The classical Kloosterman sums give rise to a Galois representation of the function field unramfied outside 0 and ∞. We study the local monodromy of this representation at ∞ using l-adic method based on the work of Deligne and Katz. As an application, we determine the degrees and the bad factors of the L-functions of the symmetric products of the above representation. Our results generalize some results of Robba obtained through p-adic method. 1991 Mathematics Subjectd Classification: Primary 11L05, 14F20.
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تاریخ انتشار 2005