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Irrationality of and
- Source :
-
Journal of Number Theory . Sep2007, Vol. 126 Issue 1, p119-154. 36p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we show how one can obtain simultaneous rational approximants for and with a common denominator by means of Hermite–Padé approximation using multiple little q-Jacobi polynomials and we show that properties of these rational approximants prove that 1, , are linearly independent over . In particular this implies that and are irrational. Furthermore we give an upper bound for the measure of irrationality. [Copyright &y& Elsevier]
- Subjects :
- *APPROXIMATION theory
*JACOBI polynomials
*ORTHOGONAL polynomials
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 126
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 25746266
- Full Text :
- https://doi.org/10.1016/j.jnt.2006.11.011