V. Ziegler

activity

20102026

most citedOn a variant of Pillai's problem

21 citations · 52 across the 30 of their papers we have counts for

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3 papers · 1 filter

math.NT2026

On the number of solutions to $S$ -unit equations

Volker Ziegler

Let $K$ be a number field and $S$ a finite set of places including the archimedian ones. Let $(a_{1}, a_{2}, a_{3}) \in K^{*}$ we consider the $S$ -unit equation $a_{1} x + a_{2} y = a_{3}$ with $x,y\in U…

math.NT2026

Complete Resolution Of A Family Of Twisted Thue Equations

Tobias Hilgart, Carina Premstaller, Volker Ziegler

One of the first infinite families of Thue equations, $F_{n} (X) = X^{3} - (n - 1) X^{2} Y - (n + 2) X Y^{2} - Y^{3} = \pm 1$ for $n \in Z$ , was solved by Thomas in 1990. This family is asso…

math.NT2026

On integers that are representable as the sum of two units

Robin Visser, Volker Ziegler

Let $K$ be a number field of degree $D$ with maximal order $O_{K}$ . We show that under certain conditions on $K$ , which in particular are always satisfied if $D$ is odd or…

On the number of solutions to S-unit equations

Complete Resolution Of A Family Of Twisted Thue Equations

On integers that are representable as the sum of two units

On the number of solutions to $S$ -unit equations