8 citations · 51 across the 20 of their papers we have counts for
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On fewnomials, integral points and a toric version of Bertini's theorem
Clemens Fuchs, Vincenzo Mantova, Umberto Zannier
An old conjecture of Erdős and Rényi, proved by Schinzel, predicted a bound for the number of terms of a polynomial when its square has a given nu…
Elementary resolution of a family of quartic Thue equations over function fields
Clemens Fuchs, Ana Jurasić, Roland Paulin
We consider and completely solve the parametrized family of Thue equations \begin{eqnarray*}X(X-Y)(X+Y)(X-λY)+Y^4=ξ,\end{eqnarray*} where the solutions come from the ring $\m…
Some applications of the -adic analytic subgroup theorem
Clemens Fuchs, Duc Hiep Pham
We use a -adic analogue of the analytic subgroup theorem of Wüstholz to deduce the transcendence and linear independence of some new classes of -adic numbers. In particular w…
Commutative algebraic groups and -adic linear forms
Clemens Fuchs, Duc Hiep Pham
Let be a commutative algebraic group defined over a number field that is disjoint over to and satisfies the condition of semistability. Consider a linear…