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On the functional equations on Artin L-function

✍ Scribed by Langlands R.P.


Book ID
127396977
Tongue
English
Weight
594 KB
Edition
web draft
Category
Library

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πŸ“œ SIMILAR VOLUMES


Artin's L-functions and one-dimensional
✍ Florin Nicolae πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 98 KB

Let K/Q be a finite Galois extension with the Galois group G, let Ο‡ 1 , . . . , Ο‡ r be the irreducible non-trivial characters of G, and let A be the C-algebra generated by the Artin L-functions L(s, Ο‡ 1 ), . . . , L(s, Ο‡ r ). Let B be the subalgebra of A generated by the L-functions corresponding to

On the convergence of the Dirichlet seri
✍ Florin Nicolae; Michael Pohst πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 86 KB

## Abstract Let \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$K/\mathbb {Q}$\end{document} be a finite Galois extension with the Galois group __G__, and let Ο‡ be a character of __G__ with the associated Artin __L__‐function __L__(__s__, Ο‡) defined in β„œ(__s__) > 1 by t