24 citations · 42 across the 22 of their papers we have counts for
24 papers · 1 filter
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…
S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points
Yann Bugeaud, Jan-Hendrik Evertse, Kálmán Győry
Let be a finite set of primes. The -part of a non-zero integer is the largest positive divisor of that is composed of primes from . In 2013, Gross and Vin…