On partitions of the unit interval generated by Brocot sequences
Anna Dushistova
Abstract
Let pi, n, i=1,..., N(n)=2n-1 be the lengths of intervals between the neighboring fractions of Brocot sequence Fn . We obtain an asymptotic formula for σβ(Fn)=Σi=1N(n) pi, nβ ,which improves known estimates.
Create a lesson
Related papers
Value distribution of multiplicative functions along linear fractional sequences
Sun-Kai Leung
Delta theory of Anderson Modules II: Hodge-Pink structure
Sudip Pandit, Arnab Saha
Integers divisible by a shifted prime in a given interval
Rebecca Abi Abdallah, Valeriya Kovaleva, Jeremy Schlitt et al.
On Piatetski-Shapiro primes from almost primes
Yuhua Zhao, Jinjiang Li, Linji Long et al.
On Consecutive Non-primitive Elements over Finite Fields
Bidushi Sharma, Dhiren Kumar Basnet
Birch's theorem over function fields with quadratically many variables
Matthew Hase-Liu