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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2017: 1.49

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Volume 2005, Issue 589


L-functions for symmetric products of Kloosterman sums

Lei Fu / Daqing Wan
Published Online: 2005-12-20 | DOI: https://doi.org/10.1515/crll.2005.2005.589.79


The classical Kloosterman sums give rise to a Galois representation of the function field unramified 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.

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Published Online: 2005-12-20

Published in Print: 2005-12-20

Citation Information: Journal für die reine und angewandte Mathematik, Volume 2005, Issue 589, Pages 79–103, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crll.2005.2005.589.79.

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