Dirichlet Characters, Gauss Sums, and Inverse Z Transform
A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse Z transform on the unit circle, and an error estimate is given for the truncated series representation.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/821949 |
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| _version_ | 1832551844695506944 |
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| author | Jing Gao Huaning Liu |
| author_facet | Jing Gao Huaning Liu |
| author_sort | Jing Gao |
| collection | DOAJ |
| description | A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse Z transform on the unit circle, and an error estimate is given for the truncated series representation. |
| format | Article |
| id | doaj-art-e9553f4ab00849a286cc6682961add86 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9553f4ab00849a286cc6682961add862025-02-03T06:00:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/821949821949Dirichlet Characters, Gauss Sums, and Inverse Z TransformJing Gao0Huaning Liu1Department of Mathematical Sciences, Xi'an Jiaotong University, Xi'an, Shaanxi, ChinaDepartment of Mathematics, Northwest University, Xi'an, Shaanxi, ChinaA generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse Z transform on the unit circle, and an error estimate is given for the truncated series representation.http://dx.doi.org/10.1155/2012/821949 |
| spellingShingle | Jing Gao Huaning Liu Dirichlet Characters, Gauss Sums, and Inverse Z Transform Abstract and Applied Analysis |
| title | Dirichlet Characters, Gauss Sums, and Inverse Z Transform |
| title_full | Dirichlet Characters, Gauss Sums, and Inverse Z Transform |
| title_fullStr | Dirichlet Characters, Gauss Sums, and Inverse Z Transform |
| title_full_unstemmed | Dirichlet Characters, Gauss Sums, and Inverse Z Transform |
| title_short | Dirichlet Characters, Gauss Sums, and Inverse Z Transform |
| title_sort | dirichlet characters gauss sums and inverse z transform |
| url | http://dx.doi.org/10.1155/2012/821949 |
| work_keys_str_mv | AT jinggao dirichletcharactersgausssumsandinverseztransform AT huaningliu dirichletcharactersgausssumsandinverseztransform |