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 .
: The paper "Effective diophantine approximation on Gm" provides deeper insights into the underlying approximation theory used to solve these equations. Effective Results and Methods for Diophantine E...
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. The phrase you're looking for refers to a
: " Exponential Diophantine Equations " by T.N. Shorey and R. Tijdeman is a foundational text focusing on the Gelfond-Baker theory. : " Exponential Diophantine Equations " by T
: Using linear forms in logarithms of algebraic numbers to find explicit bounds.
: Reducing problems over general finitely generated domains to more manageable cases over number fields.
: Applying effective results from algebraic geometry and commutative algebra. Related Essential Readings