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 necessarily excluding since that case cannot occur, we display infinite products in the field of formal power series whose truncations yield their every -th convergent.
@article{JTNB_1993__5_1_187_0,
author = {C. G. Pinner and A. J. Van der Poorten and N. Saradha},
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},
zbl = {0789.11002},
mrnumber = {1251238},
language = {en},
url = {https://jtnb.centre-mersenne.org/item/JTNB_1993__5_1_187_0/}
}
TY - JOUR AU - C. G. Pinner AU - A. J. Van der Poorten AU - N. Saradha TI - Some infinite products with interesting continued fraction expansions JO - Journal de théorie des nombres de Bordeaux PY - 1993 SP - 187 EP - 216 VL - 5 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1993__5_1_187_0/ LA - en ID - JTNB_1993__5_1_187_0 ER -
%0 Journal Article %A C. G. Pinner %A A. J. Van der Poorten %A N. Saradha %T Some infinite products with interesting continued fraction expansions %J Journal de théorie des nombres de Bordeaux %D 1993 %P 187-216 %V 5 %N 1 %I Université Bordeaux I %U https://jtnb.centre-mersenne.org/item/JTNB_1993__5_1_187_0/ %G en %F JTNB_1993__5_1_187_0
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. https://jtnb.centre-mersenne.org/item/JTNB_1993__5_1_187_0/