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:

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. Effective Results and Methods for Diophantine E...

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 : The authors provide effective bounds for classical

: " Exponential Diophantine Equations " by T.N. Shorey and R. Tijdeman is a foundational text focusing on the Gelfond-Baker theory. published in Acta Arithmetica