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Functions with integer-valued divided differences.
- Source :
-
Journal of Number Theory . May2022, Vol. 234, p179-199. 21p. - Publication Year :
- 2022
-
Abstract
- Let s 0 , s 1 , s 2 , ... be a sequence of rational numbers whose m th divided difference δ m s is integer-valued. We prove that s n is a polynomial function in n if | s n | ≪ θ n for some positive number θ satisfying θ < e 1 + 1 2 + ⋯ + 1 m − 1. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 234
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 154896648
- Full Text :
- https://doi.org/10.1016/j.jnt.2021.06.020