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A hyper-Kloosterman sum identity

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Iowa, 52242-1419, Iowa City, IA, USA

    Yangbo Ye

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  1. Yangbo Ye
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Project supported in part by the US NSF (Grant No. DMS 97-01225).

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Ye, Y. A hyper-Kloosterman sum identity. Sci. China Ser. A-Math. 41, 1158–1162 (1998). https://doi.org/10.1007/BF02871978

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  • DOI: https://doi.org/10.1007/BF02871978

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