A characterization of the λ-invariant of a p-adic L-function
Copyright policy )A characterization of the λ-invariant of a p-adic L-function
The Kubota-Leopoldt p-adic L-function \(L_ p(s,\chi)\) attached to an even non-principal character \(\chi\) admits a well-known power series representation \(f(X,\chi)=\sum _{j\geq 0}a_ jX^ j\), say. In this paper the explicit expressions for \(a_ j\) are modified in order to get a characterization for the \(\lambda\)-invariant of f(X,\(\chi)\) which is suitable, for example, for the numerical computation of \(\lambda\) [cf. the article by \textit{R. Ernvall} and the author, Math. Comput. 49, 281-294 (1987; Zbl 0601.12010)].
Software, source code, etc. for problems pertaining to field theory, p-adic L-function, Cyclotomic extensions, Zeta functions and \(L\)-functions, \(\lambda \)-invariant, numerical computation, power series representation, Iwasawa theory
Software, source code, etc. for problems pertaining to field theory, p-adic L-function, Cyclotomic extensions, Zeta functions and \(L\)-functions, \(\lambda \)-invariant, numerical computation, power series representation, Iwasawa theory
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