Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666073 | Advances in Mathematics | 2013 | 21 Pages |
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 Anglès and Ranieri [B. Anglès, 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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hae-Sang Sun,