Some infinite products with interesting continued fraction expansions
Journal de Théorie des Nombres de Bordeaux, Tome 5 (1993) no. 1, pp. 187-216.

We display several infinite products with interesting continued fraction expansions. Specifically, for various small values of $k$ necessarily excluding $k=3$ since that case cannot occur, we display infinite products in the field of formal power series whose truncations yield their every $k$-th convergent.

DOI : https://doi.org/10.5802/jtnb.89
Classification : 11A55
Mots clés : continued fraction, infinite product
@article{JTNB_1993__5_1_187_0,
author = {Pinner, Christopher G. and van der Poorten, Alferd J. and Saradha, N.},
title = {Some infinite products with interesting continued fraction expansions},
journal = {Journal de Th\'eorie des Nombres de Bordeaux},
pages = {187--216},
publisher = {Universit\'e Bordeaux I},
volume = {5},
number = {1},
year = {1993},
doi = {10.5802/jtnb.89},
zbl = {0789.11002},
mrnumber = {1251238},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.89/}
}
C. G. Pinner; A. J. Van der Poorten; N. Saradha. Some infinite products with interesting continued fraction expansions. Journal de Théorie des Nombres de Bordeaux, Tome 5 (1993) no. 1, pp. 187-216. doi : 10.5802/jtnb.89. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.89/

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