Results 1  10
of
1,087
Factoring polynomials with rational coefficients
 MATH. ANN
, 1982
"... In this paper we present a polynomialtime algorithm to solve the following problem: given a nonzero polynomial fe Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive polynomia ..."
Abstract

Cited by 961 (11 self)
 Add to MetaCart
to be factored, n = deg(f) is the degree of f, and for a polynomial ~ a ~ i with real coefficients a i. i An outline of the algorithm is as follows. First we find, for a suitable small prime number p, a padic irreducible factor h of f, to a certain precision. This is done with Berlekamp's algorithm
Irreducible Factors And PAdic Poles Of Higher Order Bernoulli Polynomials
 C. R. Math. Rep. Acad. Sci. Canada
, 1992
"... . We establish the padic singularity pattern of the coefficients of the higher order Bernoulli polynomials, and use this to determine all instances of pEisenstein behavior. This approach provides new proofs for and generalizes known irreducibility results. 1. INTRODUCTION This announcement summa ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
. We establish the padic singularity pattern of the coefficients of the higher order Bernoulli polynomials, and use this to determine all instances of pEisenstein behavior. This approach provides new proofs for and generalizes known irreducibility results. 1. INTRODUCTION This announcement
Irreducible
"... modular representations of a reductive padic group and simple modules for Hecke algebras. ..."
Abstract
 Add to MetaCart
modular representations of a reductive padic group and simple modules for Hecke algebras.
Irreducibility and padic monodromies on the Siegel moduli spaces
, 2008
"... Abstract. We generalize the surjectivity result of the padic monodromy for the ordinary locus of a Siegel moduli space by Faltings and Chai (independently by Ekedahl) to that for any prank stratum. We discuss irreducibility and connectedness of some prank strata of the moduli spaces with parahori ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
Abstract. We generalize the surjectivity result of the padic monodromy for the ordinary locus of a Siegel moduli space by Faltings and Chai (independently by Ekedahl) to that for any prank stratum. We discuss irreducibility and connectedness of some prank strata of the moduli spaces
METHODS FOR pADIC MONODROMY
, 2008
"... We explain three methods for showing that the padic monodromy of a modular family of abelian varieties is ‘as large as possible’, and illustrate them in the case of the ordinary locus of the moduli space of gdimensional principally polarized abelian varieties over a field of characteristic p. The ..."
Abstract

Cited by 7 (2 self)
 Add to MetaCart
We explain three methods for showing that the padic monodromy of a modular family of abelian varieties is ‘as large as possible’, and illustrate them in the case of the ordinary locus of the moduli space of gdimensional principally polarized abelian varieties over a field of characteristic p
Research Article Regular poles for the padic group GSp4
"... Abstract: We compute the regular poles of the Lfactors of the admissible and irreducible representations of the group GSp4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a nonArchimedean lo ..."
Abstract
 Add to MetaCart
Abstract: We compute the regular poles of the Lfactors of the admissible and irreducible representations of the group GSp4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a non
TOWARDS THE JACQUET CONJECTURE ON THE LOCAL CONVERSE PROBLEM FOR pADIC GLn
"... Abstract. The Local Converse Problem is to determine how the family of the local gamma factors γ(s, π × τ, ψ) characterizes the isomorphism class of an irreducible admissible generic representation π of GLn(F), with F a nonarchimedean local field, where τ runs through all irreducible supercuspidal ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
Abstract. The Local Converse Problem is to determine how the family of the local gamma factors γ(s, π × τ, ψ) characterizes the isomorphism class of an irreducible admissible generic representation π of GLn(F), with F a nonarchimedean local field, where τ runs through all irreducible supercuspidal
Results 1  10
of
1,087