24 citations · 42 across the 22 of their papers we have counts for
26 papers
Asymptotic formulas for sums of elements from a multiplicative group
Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2
Let be a number field, an integer, the -fold direct product of with coordinatewise multiplication, and a finitely generated subgroup of rank $r…
Effective reduction theory of integral polynomials of given non-zero discriminant and its applications
Jan-Hendrik Evertse, Kálmán Győry
We give a survey on the general effective reduction theory of integral polynomials and its applications. We concentrate on results providing the finiteness for the number of `$\mat…
Orders with few rational monogenizations
Jan-Hendrik Evertse
For an algebraic number of degree , let be the -module generated by ; then $\mathbb{Z}_α:=\{ξ\in\mathbb{Q} (α):\, ξ\mathcal{…
Hermite equivalence of polynomials
Manjul Bhargava, Jan-Hendrik Evertse, Kálmán Győry +2
In this paper, we resurrect a long-forgotten notion of equivalence for univariate polynomials with integral coefficients introduced by Hermite in the 1850s. We show that the Hermit…
Number systems over general orders
Jan-Hendrik Evertse, Kálmán Győry, Attila Pethő +1
Let be an order, that is a commutative ring with whose additive structure is a free -module of finite rank. A generalized number system (GNS for short…
Mahler's work on the geometry of numbers
Jan-Hendrik Evertse
Mahler has written many papers on the geometry of numbers. Arguably, his most influential achievements in this area are his compactness theorem for lattices, his work on star bodie…