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math.NT2024
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…
math.NT2020
On the Lévy constants of Sturmian continued fractions
Yann Bugeaud, Dong Han Kim, Seul Bee Lee
The Lévy constant of an irrational real number is defined by the exponential growth rate of the sequence of denominators of the principal convergents in its continued fraction expa…