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math.NT2013
Effective results for Diophantine equations over finitely generated domains
Attila Bérczes, Jan-Hendrik Evertse, Kálmán Györy
Let A be an arbitrary integral domain of characteristic 0 which is finitely generated over Z. We consider Thue equations with unknowns x,y from A and hyper- and superell…
math.NT2013
Effective results for hyper- and superelliptic equations over number fields
Attila Bérczes, Jan-Hendrik Evertse, Kálmán Györy
We consider hyper- and superelliptic equations with unknowns x,y from the ring of S-integers of a given number field K. Here, f is a polynomial with S-integral coeffici…