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A hyper-Kloosterman sum identity
Journal article

A hyper-Kloosterman sum identity

Yangbo Ye
Science in China Series A: Mathematics, Vol.41(11), pp.1158-1162
11/1998
DOI: 10.1007/BF02871978

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Abstract

From a Davenport-Hasse identity of Gauss sums an identity of a hyper-Kloosterman sum has been deduced. Using this identity the theory of Kloosterman sheaves and equidistribution of hyper-Kloosterman sums can be applied to an exponential sum over a cyclic algebraic number field of prime degree. This identity might also be applied to base change problems in representation theory via a possible relative trace formula over the cyclic number field.
Kloosterman sum Mathematics Applications of Mathematics

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