Efficient resolution of Thue-Mahler equations

Adela Gherga, Samir Siksek

A Thue-Mahler equation is a Diophantine equation of the form $$F(X,Y)=a\cdot p_1^{z_1}\cdots p_v^{z_v},\gcd (X,Y)=1$$ where $F$ be an irreducible homogeneous binary form o…