Add to ORKGThis paper proves several results. First, there is an irreducibility theorem for the lifting of torsion points on a finite cover of G_m^n. Then this is applied to prove a strong form of Hilbert Irreducibility over cyclotomic fields; for instance if f(x,y) is irreducible, under a necessary simple condition, f(a,y) remains irreducible over a maximal cyclotomic extension for every root of unity a. Third, polynomial maps with infinitely many preperiodic points over a maximal cyclotomic field are completely characterized. In particular, the results answer completely some open questions of Narkiewic
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
We generalise the study of cyclotomic matrices- those with all eigenvalues in the interval [−2, 2]- ...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
This paper proves several results. First, there is an irreducibility theorem for the lifting of tors...
In the context which arose from an old problem of Lang regarding the torsion points on subvarieties...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
Hilbert [H] proved in 1892 that for given irreducible polynomials fi(T1,..., Tr, X), i = 1,...,m, an...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
We use a result of Y. Furuta to show that for almost all positive integers m, the cyclotomic field Q...
Let R be a positively graded algebra over a field k. We say that R is Hilbert-cyclotomic if the nume...
A classical theorem by K. Ribet asserts that an abelian variety defined over the maximal cyclotomic ...
A method for obtaining very precise results along the lines of the Hilbert Irreducibility Theorem is...
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and ...
The paper proves new results on the irreducibility of fibers of a cover of an algebraic group, above...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
We generalise the study of cyclotomic matrices- those with all eigenvalues in the interval [−2, 2]- ...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
This paper proves several results. First, there is an irreducibility theorem for the lifting of tors...
In the context which arose from an old problem of Lang regarding the torsion points on subvarieties...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
Hilbert [H] proved in 1892 that for given irreducible polynomials fi(T1,..., Tr, X), i = 1,...,m, an...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
We use a result of Y. Furuta to show that for almost all positive integers m, the cyclotomic field Q...
Let R be a positively graded algebra over a field k. We say that R is Hilbert-cyclotomic if the nume...
A classical theorem by K. Ribet asserts that an abelian variety defined over the maximal cyclotomic ...
A method for obtaining very precise results along the lines of the Hilbert Irreducibility Theorem is...
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and ...
The paper proves new results on the irreducibility of fibers of a cover of an algebraic group, above...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
We generalise the study of cyclotomic matrices- those with all eigenvalues in the interval [−2, 2]- ...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...