Coleman power series
= Coleman power series
{c}
{title2=$f_u(T)$}
A Coleman power series encodes a norm-compatible sequence of local units in a cyclotomic tower by a single integral power series evaluated at $\zeta_{p^n}-1$. A logarithmic derivative and trace correction give a measure, relating the local images of <cyclotomic units> to <p-adic L-functions>.