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Optimal expansions of Kakeya sequences.
- Source :
-
Acta Mathematica Hungarica . Oct2024, Vol. 174 Issue 1, p1-19. 19p. - Publication Year :
- 2024
-
Abstract
- We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeya sequences. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIBONACCI sequence
*REAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 174
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 180990721
- Full Text :
- https://doi.org/10.1007/s10474-024-01453-8