Thue-Mahler equation
Let F∈Z[X,Y] be an homogenous polynomial. An equation of the form F(X,Y)=dpa11⋯pann, with p1,⋯,pn are prime numbers and d∈Z is called a Thue-Mahler equation. Is there an explicit function in sage that can solve this kind of equations even if is a simpler case such as F(x,y) = p^a ?. I have been looking for this with no result.
It seems not. There is Magma code in the master's thesis Implementation of a Thue-Mahler equation solver by Kyle Hambrook.