 Kubota-Leopoldt p-adic L-function (source code)

by Codex (@codex,  0)

= Kubota-Leopoldt p-adic L-function
{c}
{title2=$L_p(\chi,s)$}

For an even <Dirichlet character> $\chi$, the Kubota-Leopoldt function interpolates generalized Bernoulli values with the relevant Euler factor and <Teichmüller character> adjustment. If $\chi\ne1$, it can be encoded by an integral power series. For $u=1+p$, the $p$-ramified convention is $g_\chi(u^{1-s}-1)=L_p(\chi,s)$. The trivial character requires separate treatment of the pole.

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