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A study on functional independence of the Iwasawa power series
- Alternative Title
- A study on functional independence of the Iwasawa power series
- Author(s)
- Sun, Hae-Sang
- Issued Date
- 2013-05
- Citation
- ADVANCES IN MATHEMATICS, v.238, pp.119 - 139
- Abstract
- We study a class of functional independences that the Iwasawa power series satisfy for both zero and non-zero characteristics. As results, we prove a generalization of Angles and Ranieri [B. Angles, G. Ranieri, On the linear independence of p-adic L-functions modulo p, Ann. Inst. Fourier (Grenoble) 60 (5) (2010) 1831-1855] and transcendence of the Iwasawa power series over the rational functions for non-zero characteristics. We also verify that the power series is not a solution of any non-trivial linear differential equation with the coefficients of rational functions over p-adic numbers. (C) 2013 Elsevier Inc. All rights reserved
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0001-8708
- Keyword (Author)
- Kubota-Leopoldt p-adic L-function, Iwasawa power series, Iwasawa L-function, Algebraic differential independence, Transcendence
- Keyword
- ADIC L-FUNCTIONS, GAMMA-TRANSFORM, INVARIANT
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