On algebraic degrees of inverted Kloosterman sums

2024/07/23 by Lin, Xin, Wan, Daqing
#11L05 #11T23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2407.16229

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≥ 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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