Showing papers on "Generic polynomial published in 1976"
TL;DR: In this paper, it was shown that there exists a linear representation such that the Artin L -function for p is equal to the L-function associated to f(z).
Abstract: Let f(z) be a cusp form of type (l,e) on Γ 0 (N) which is a common eigenfunction of all Hecke operators. For such f(z) , Deligne and Serre [1] proved that there exists a linear representation such that the Artin L -function for p is equal to the L -function associated to f(z) .
11 citations
TL;DR: A formula is obtained for the number of permutations of Fn×n which are scalar polynomial functions.
6 citations
TL;DR: In this article, it was shown that any quadratic extension of an A n -closed field admits an extension with Galois group A n, the symmetric group of degree n.
4 citations
TL;DR: In this article, a necessary and sufficient condition that every division ring with center k and index equal to the order of G be a crossed product for G, is that k and G satisfy the hypothesis of the above theorem.
3 citations
TL;DR: In this article, the Galois group of polynomials in two variables with integer coefficients over the quotient field is computed using a constructive version of the Newton polygon method and analytic continuations.
Abstract: We give an algorithm for the computation of the Galois group of the splitting field of polynomials in two variables with integer coefficients over the quotient field ?(?), (the rational functions in ?). The algorithm uses a constructive version of the Newton polygon method and analytic continuations.
1 citations