摘要

Text. Given a > 0, let (s(alpha) (n))(n >= 1) be the lexicographically greatest Sturmian word of slope alpha. We study Dirichlet series with s(alpha) (n) coefficients. Its continuity and differentiability in alpha are investigated. As a consequence, we obtain another kind of singular function whose differentiability rests upon Diophantine approximation.

  • 出版日期2015-2