EXPONENTIAL SUMS OVER NORM GROUPS

Author:

Sergey~Sergeev,~Pavel~Varbanets

2010 Mathematics Subject Classification:

11K45, 11T23, 11T71.

Keywords:

exponential sums over norm group, Gaussian integers, Kloosterman sum.

Abstract:

In the paper, the non-trivial estimates for generalized Kloos-terman sums over the ring of Gaussian integers on the norm subgroup E_m of multiplicative group of the ring of residue classes \pmod{p^m}, p\equiv3\pmod{4}, m=1,2,3,\ldots, whose norms are congruent with \pm1 modulo p^m are obtained.

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Serg_Varb_2014

Vol. 9 (17), 2014