Generalized Kloosterman sum over the ring M_n(\mathbb{Z})

Author:

Igor VELICHKO

AMS Classification:

11L05

Keywords:

Kloosterman sum, matrix ring, multiplicative function, prime matrix, residue

Abstract:

We propose a generalization of the Kloosterman sums over the ring M_n(\mathbb{Z}). The estimates for such sums for n=2,3 are obtained.

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Veli-2010

Vol. 5 (13), 2010