# Some infinite products with interesting continued fraction expansions

C. G. Pinner; A. J. Van der Poorten; N. Saradha

Journal de théorie des nombres de Bordeaux (1993)

- Volume: 5, Issue: 1, page 187-216
- ISSN: 1246-7405

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topPinner, 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 -

## References

top- [1] J.-P. Allouche, M. Mendès France and A.J. van der Poorten, An infinite product with bounded partial quotients, Acta Arith.59 (1991), 171-182. Zbl0749.11014MR1133957
- [2] M. Mendès France and A.J. van der Poorten, Some explicit continued fraction expansions, Mathematika, 38 (1991), 1-9. Zbl0708.11011MR1116679

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