Effective Results And Methods For Diophantine E... Apr 2026

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.

: Using linear forms in logarithms of algebraic numbers to find explicit bounds. Effective Results and Methods for Diophantine E...

: " Exponential Diophantine Equations " by T.N. Shorey and R. Tijdeman is a foundational text focusing on the Gelfond-Baker theory. The "paper" you might be recalling is likely

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 published in Acta Arithmetica

: Reducing problems over general finitely generated domains to more manageable cases over number fields.