Trivial L -functions for the rational function field
نویسندگان
چکیده
منابع مشابه
Trivial L-functions for the rational function field
In this paper, we will study an extreme case of cancellation over the rational function field k = E(T ). If we assume that the geometric Galois group Gal(k/kE) has no non-trivial invariants on V and that the degree f(V ) of the Artin conductor of V is twice the dimension of V , then L(V, s) is a polynomial of degree 0 in q with constant coefficient 1. Hence L(V, s) = 1 is a constant function! W...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2013
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2012.02.011