: Reducing problems over general finitely generated domains to more manageable cases over number fields.
The phrase you're looking for refers to a prominent field of research summarized in the book (2022) by Jan-Hendrik Evertse and Kálmán Győry . Effective Results and Methods for Diophantine E...
: The authors provide effective bounds for classical problems including: Thue Equations : Unit Equations : in units of a domain. Hyper- and Superelliptic Equations : The Catalan Equation : Methodology : They utilize advanced techniques like: : Reducing problems over general finitely generated domains
The "paper" you might be recalling is likely their influential 2014 journal article, published in Acta Arithmetica , which laid the groundwork for the later book. Hyper- and Superelliptic Equations : The Catalan Equation
: " Exponential Diophantine Equations " by T.N. Shorey and R. Tijdeman is a foundational text focusing on the Gelfond-Baker theory.
This work is highly regarded as the first comprehensive treatment of "effective" finiteness results—meaning the proofs don't just show that only finitely many solutions exist, but actually provide to find them. Key Content & Methods