The paper gives an O_K-basis for log_{[π]}(F(m_L)) on π-regular extensions L/K and determines its minimal valuation, with extensions to arbitrary finite extensions and the Lubin-Tate tower.
Tomaskovic-Moore, Galois Module Structure of Lubin-Tate Modules, Univ
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An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$
The paper gives an O_K-basis for log_{[π]}(F(m_L)) on π-regular extensions L/K and determines its minimal valuation, with extensions to arbitrary finite extensions and the Lubin-Tate tower.