Tobias Hilgart

activity

20212026

most citedOn a family of cubic Thue Equations involving Fibonacci and Lucas numbers

2 citations · 2 across the 8 of their papers we have counts for

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math.NT2023

On a conjecture of Levesque and Waldschmidt

Tobias Hilgart, Volker Ziegler

One of the first parametrised Thue equations, $X^{3} - (n - 1) X^{2} Y - (n + 2) X Y^{2} - Y^{3} = 1,$ over the integers was solved by E. Thomas in 1990. If we interpret this as…

math.NT2023

Twisted Thue equations with multiple exponents in fixed number fields

Tobias Hilgart, Volker Ziegler

Let $K$ be a number field of degree $d \geq 3$ and fix $s$ multiplicatively independent algebraic integers $γ_{1}, \dots, γ_{s} \in K^{*}$ that fulfil some technical requirements, which c…