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math.DS2026
Sharpening Borel's result in Diophantine approximation
Savita S. Adhin, Ayreena Bakhtawar, Cor Kraaikamp
In this paper, we refine Borel's 1903 result in Diophantine approximation by providing sharper bounds for the minimum of three consecutive approximation coefficients , defi…
math.DS2026
A strange continued fraction associated with the Romik map
Yufei Chen, Karma Dajani, Yanyan Hu +1
In 2008, Dan Romik studied in this journal Primitive Pythagorean Triples, or PPTs. In order to do so, he introduced a modified slow (subtractive) Euclidean algorithm, and showed th…