Results 21 to 28 of about 122 (28)

A positive lower bound for $\liminf_{N\to\infty} \prod_{r=1}^N \left| 2\sin \pi r \varphi \right|$

open access: yes, 2018
Nearly 60 years ago, Erd\H{o}s and Szekeres raised the question of whether $$\liminf_{N\to \infty} \prod_{r=1}^N \left| 2\sin \pi r \alpha \right| =0$$ for all irrationals $\alpha$.
Grepstad, Sigrid   +2 more
core  

A singular function and its relation with the number systems involved in its definition [PDF]

open access: yes
Minkowski's ?(x) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it permits us to prove that its derivative, as it also happens for many other non ...
Jaume Paradís   +2 more
core  

On Weyl products and uniform distribution modulo one. [PDF]

open access: yesMon Hefte Math, 2018
Aistleitner C   +4 more
europepmc   +1 more source

Spectral isomorphisms of Morse flows

open access: yes, 2000
T. Downarowicz   +2 more
semanticscholar   +1 more source
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