Earlier this year, a first-time academic author published a new mathematical study in the journal Research in Number Theory. The twist? The researcher, Christopher Havens, is also serving a 25-year ...

ABSTRACT. This paper explores the relationship between real valued monomial valuations on 𝑘(𝑥, 𝑦), the resolution of cusp singularities and continued fractions. It is shown that, up to equivalence, ...

The spectral properties of the analytic theory of continued fractions, orthogonal functions, and rational approximation, are examined from the point of view of operator theory. New historical and ...

Recent advances in the study of continued fractions have opened new perspectives on the interplay between dynamical systems and entropy. Researchers are exploring how the inherent structure of ...