K. GyHory

activity

20112026

most citedEffective results for unit equations over finitely generated domains

2 citations · 2 across the 5 of their papers we have counts for

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math.NT2018

Number systems over general orders

Jan-Hendrik Evertse, Kálmán Győry, Attila Pethő +1

Let $O$ be an order, that is a commutative ring with $1$ whose additive structure is a free $Z$ -module of finite rank. A generalized number system (GNS for short…

math.NT2018

On the smallest number of terms of vanishing sums of units in number fields

Csanád Bertók, Kálmán Győry, Lajos Hajdu +1

Let $K$ be a number field. In the terminology of Nagell a unit $ε$ of $K$ is called {\it exceptional} if $1 - ε$ is also a unit. The existence of such a unit is e…