Symmetric continued fractions related to certain series
β Scribed by Jun-ichi Tamura
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 532 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A recent paper (J. Number Theory 42 (1992), 61 87) announced various arithmetical properties of the Mahler function f (%, ,; x, y)= k=1 1 m k%+, x k y m . Unfortunately the arguments of that paper are marred by an error whereby the arguments hold only for ,=0 (or when b n =1 for all positive integer
We use the fact that certain cosets of the stabilizer of points are pairwise conjugate in a symmetric group S n in order to construct recurrence relations for enumerating certain subsets of S n . Occasionally one can find 'closed form' solutions to such recurrence relations. For example, the probabi