Generalized Cohn functions on Galois rings. (English) Zbl 1478.11150
Summary: Let \({\mathbb F}_q\) be the finite field with \(q=p^m\) elements. A complex valued Cohn function defined on \({\mathbb F}_q\) is introduced in [T. Cochrane et al., J. Number Theory 81, No. 1, 120–129 (2000; Zbl 1015.11064)]. In this paper we define generalized Cohn functions on Galois rings and investigate their properties.
MSC:
| 11T24 | Other character sums and Gauss sums |
| 16L60 | Quasi-Frobenius rings |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
Citations:
Zbl 1015.11064References:
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