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L-functions of symmetric products of the Kloosterman sheaf over Z

โœ Scribed by Lei Fu; Daqing Wan


Book ID
105873470
Publisher
Springer
Year
2008
Tongue
English
Weight
240 KB
Volume
342
Category
Article
ISSN
0025-5831

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Let Z denote the Leibniz-Hopf algebra, which also turns up as the Solomon descent algebra and the algebra of noncommutative symmetric functions. As an algebra Z=ZOZ 1 , Z 2 , ...P, the free associative algebra over the integers in countably many indeterminates. The coalgebra structure is given by m(

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The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value theorem.