| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415526 | Journal of Number Theory | 2015 | 12 Pages |
Abstract
TextGiven α>0α>0, let (sα(n))n≥1(sα(n))n≥1 be the lexicographically greatest Sturmian word of slope α . We study Dirichlet series with sα(n)sα(n) coefficients. Its continuity and differentiability in α are investigated. As a consequence, we obtain another kind of singular function whose differentiability rests upon Diophantine approximation.VideoFor a video summary of this paper, please visit http://youtu.be/V9o-2wIJWVQ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
