Artin's L-functions and one-dimensional characters
نویسندگان
چکیده
منابع مشابه
On Artin’s L-functions. Iii: One Dimensional Characters by Florin Nicolae at Berlin and Bucharest
Let K/Q be a finite Galois extension with the Galois group G, and let χ be a nontrivial irreducible character ofG. Artin’s conjecture predicts that the L-function L(s, χ,K/Q) is holomorphic in the whole complex plane ([1], P. 105). Let χ1, . . . , χr be the irreducible nontrivial characters of G. The corresponding L-functions L(s, χ1), . . . , L(s, χr) are algebraically independent over C ([2],...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2007
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.08.004