## Rocky Mountain Journal of Mathematics

### 4-dissections and 8-dissections for some infinite products

#### Abstract

In this paper, we establish 4- and 8-dissections for some infinite products. In particular, we generalize Hirschhorn's formulas for 8-dissections of a continued fraction of Gordon and its reciprocal. Our results also imply a theorem on the periodicity of signs of the coefficients of an infinite product given by Chan and Yesilyurt.

#### Article information

Source
Rocky Mountain J. Math., Volume 44, Number 5 (2014), 1685-1696.

Dates
First available in Project Euclid: 1 January 2015

https://projecteuclid.org/euclid.rmjm/1420071562

Digital Object Identifier
doi:10.1216/RMJ-2014-44-5-1685

Mathematical Reviews number (MathSciNet)
MR3295650

Zentralblatt MATH identifier
1318.11006

#### Citation

Xia, Ernest X.W.; Yao, X.M. 4-dissections and 8-dissections for some infinite products. Rocky Mountain J. Math. 44 (2014), no. 5, 1685--1696. doi:10.1216/RMJ-2014-44-5-1685. https://projecteuclid.org/euclid.rmjm/1420071562

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