Enrico Bombieri proved that the ABC Conjecture implies Roth's theorem in 1994. This paper concerns the other direction. In making use of Bombieri's and Van der Poorten's explicit formula for the coefficients of the regular continued fractions of algebraic numbers, we prove that Roth's theorem...

This paper assesses the causal impact of greater market access on demographic transition during the latter half of the 19th century in the United States. We construct new measures of fertility changes and measures of railroad access at the county level from 1850 - 1890. We are able to document...

This study investigates the impact of demographic dividends on economic growth by employing the dynamic common correlated effect (DCCE) as a panel data estimation technique. The analysis encompasses 71 developing countries from 1980 to 2019, further divided into lower- and higher-income...