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arXiv · 2407.16229

On algebraic degrees of inverted Kloosterman sums

Xin Lin·Daqing Wan
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Abstract

The study of $n$-dimensional inverted Kloosterman sums was suggested by Katz (1995) who handled the case when $n=1$ from complex point of view. For general $n\geq 1$, the $n$-dimensional inverted Kloosterman sums were studied from both complex and $p$-adic point of view in our previous paper. In this note, we study the algebraic degree of the inverted $n$-dimensional Kloosterman sum as an algebraic integer.

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Xin Lin, Daqing Wan. 2024-07-23. On algebraic degrees of inverted Kloosterman sums. https://arxiv.org/abs/2407.16229

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