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Approximants de Pade´ et se´ries hyperge´ome´triques e´quilibre´es
- Source :
-
Journal de Mathematiques Pures et Appliquees . Oct2003, Vol. 82 Issue 10, p1369. 26p. - Publication Year :
- 2003
-
Abstract
- In this paper, we present and solve some very general new Pade´ approximant problems, whose solutions can be expressed with hypergeometric series. These series appear in the proofs of the irrationality of <f>ζ(3)</f>, of infinitely many <f>ζ(2n+1)</f>, and in essentially all results of this kind in the literature. We also prove two new Diophantine results with this method. [Copyright &y& Elsevier]
Details
- Language :
- French
- ISSN :
- 00217824
- Volume :
- 82
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal de Mathematiques Pures et Appliquees
- Publication Type :
- Academic Journal
- Accession number :
- 11114631
- Full Text :
- https://doi.org/10.1016/S0021-7824(03)00027-8