On the number of solutions of the linear equation in finite Carlitz modules
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- by Chih-Nung Hsu and Ting-Ting Nan PDF
- Proc. Amer. Math. Soc. 137 (2009), 2191-2200 Request permission
Abstract:
We deduce an accurate formula for the number of solutions of the linear equation in generators of finite Carlitz modules, and the equation always has solutions except for some cases. Therefore, we have a criterion for the existence of the solutions of the linear equation. Moreover, we have a similar result in normal bases when we apply our main theorem to a special case.References
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Additional Information
- Chih-Nung Hsu
- Affiliation: Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting-Chou Road, Taipei, Taiwan, Republic of China
- Email: maco@math.ntnu.edu.tw
- Ting-Ting Nan
- Affiliation: Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting-Chou Road, Taipei, Taiwan, Republic of China
- Email: ayanami-nan@math.ntnu.edu.tw
- Received by editor(s): June 12, 2008
- Received by editor(s) in revised form: September 1, 2008
- Published electronically: January 13, 2009
- Communicated by: Ken Ono
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2191-2200
- MSC (2000): Primary 11G09; Secondary 11T55, 11T24
- DOI: https://doi.org/10.1090/S0002-9939-09-09747-0
- MathSciNet review: 2495251