Some infinite products with interesting continued fraction expansions

Pinner, C. G., Van der Poorten, A. J., and Saradha, N.. "Some infinite products with interesting continued fraction expansions." Journal de théorie des nombres de Bordeaux 5.1 (1993): 187-216. <http://eudml.org/doc/93573>.

@article{Pinner1993,
abstract = {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.},
author = {Pinner, C. G., Van der Poorten, A. J., Saradha, N.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {continued fraction; infinite product; Laurent series; infinite products; continued fractions; transducers},
language = {eng},
number = {1},
pages = {187-216},
publisher = {Université Bordeaux I},
title = {Some infinite products with interesting continued fraction expansions},
url = {http://eudml.org/doc/93573},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Pinner, C. G.
AU - Van der Poorten, A. J.
AU - Saradha, N.
TI - Some infinite products with interesting continued fraction expansions
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 187
EP - 216
AB - 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.
LA - eng
KW - continued fraction; infinite product; Laurent series; infinite products; continued fractions; transducers
UR - http://eudml.org/doc/93573
ER -