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arXiv · 2608.18253

Properties of Kloosterman sums for long Weyl element on GL(n)

Srijeet Bhattacharjee
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Abstract

We give an alternate expression for the Kloosterman sums associated with the long Weyl element of \(GL(n)\) that avoides the use of Pl\"ucker coordinates. The expression is instead based on the use of the well-known Cauchy-Binet formula from linear algebra. From this expression, we prove some important properties of these Kloosterman sums.

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Srijeet Bhattacharjee. 2026-08-18. Properties of Kloosterman sums for long Weyl element on GL(n). https://arxiv.org/abs/2608.18253

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