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- W2970668869 abstract "The objective of this paper is to find out the image of the maximal ideal $m_k=pi O_k$ of the ring $O_k$ in the finite cyclotomic extension $mathbb{Q}_p(zeta_p)$ of $mathbb{Q}_p$ under p-adic logarithmic series induced by the 1-dimensional formal group law and to identify the image with a group structure. Our main motivation in this paper is to identify the image of the elements that belongs to $(1+m_k)$ but does not belong to $(1+m_k^2)$ i.e., image of the annular region under the p-adic logarithmic series due to the 1-dimensional formal group law." @default.
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- W2970668869 date "2019-04-18" @default.
- W2970668869 modified "2023-09-27" @default.
- W2970668869 title "Image of the maximal ideal in the extension of $mathbb{Q}_p$ by p-adic logarithm" @default.
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