Dirichlet Characters, Gauss Sums, and Inverse Z Transform-Reference-Cited by-同舟云学术

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Dirichlet Characters, Gauss Sums, and Inverse Z Transform

Published:2012 Issue: Volume:2012 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Gao Jing¹,Liu Huaning²

Affiliation:

1. Department of Mathematical Sciences, Xi'an Jiaotong University, Xi'an, Shaanxi, China

2. Department of Mathematics, Northwest University, Xi'an, Shaanxi, China

Abstract

A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverseZtransform on the unit circle, and an error estimate is given for the truncated series representation.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/821949.pdf

Reference10 articles.

1. The arithmetic Fourier transform

2. Fourier analysis and signal processing by use of the Mobius inversion formula

3. A VLSI architecture for simplified arithmetic Fourier transform algorithm

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1. On Specially Multiplicative Functions;European Journal of Applied Science, Engineering and Technology;2024-01-01

2. Asymptotic free probability for arithmetic functions and factorization of Dirichlet series;Analysis and Mathematical Physics;2015-11-03

3. Krein-Space Operators Induced by Dirichlet Characters;Commutative and Noncommutative Harmonic Analysis and Applications;2013

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