18 citations · 24 across the 4 of their papers we have counts for
4 papers
Reducibility of polynomials modulo
Wolfgang M. Ruppert
We consider absolutely irreducible polynomials with , and height . We show that for any prime with the reduction $…
Two-dimensional complex tori with multiplication by
Wolfgang M. Ruppert
We give an elementary argument for the well known fact that the endomorphism algebra of a simple complex abelian surface can neither be an imaginary quadratic field…
Torsion points of abelian varieties in abelian extensions
Wolfgang M. Ruppert
Let A be an abelian variety defined over a number field K and let Kab be the maximal abelian extension of K. We show that there only finitely many torsion points of A which are def…
Small generators of number fields
Wolfgang M. Ruppert
This is a revised version of ANT-0045. If K is a number field of degree n with discriminant D, if K=Q(a) then H(a)>c(n)|D|^(1/(2n-2)) where H(a) is the height of the minimal polyno…