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arXiv · 1907.06437

On the bases of the image of $2$-adic logarithm on the group of principal units

Mabud Ali Sarkar·Absos Ali Shaikh
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Abstract

This paper computes the bases of the image of $2$-adic logarithm on the group of the principal units in all 7 quadratic extensions of $\mathbb{Q}_2$. This helps one to understand the free module structure of $2$-adic logarithm at arbitrary points on its domain. We discuss some applications at the end.

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BibTeXRIS

Mabud Ali Sarkar, Absos Ali Shaikh. 2019-07-15. On the bases of the image of $2$-adic logarithm on the group of principal units. https://arxiv.org/abs/1907.06437

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