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The periodicity of
the signs of the coefficients of certain infinite
products
Song Heng Chan and Hamza Yesilyurt |
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Vol. 225 (2006), No. 1, 13–32
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Abstract |
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Ramanujan, Richmond and Szekeres, Ramanathan, Andrews, Hirschhorn, Alladi and Berndt, and Bressoud have studied certain infinite products arising from continued fractions from the point of view of the periodicity of the signs of their Taylor series coefficients. In this paper we prove more general theorems of the same sort. |
Keywords
infinite products, periodicity, continued fractions
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Mathematical Subject Classification 2000
Primary: 30B70
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Milestones
Received: 27 July 2004
Revised: 2 March 2005
Accepted: 18 March 2005
Published: 1 May 2006
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Authors |
| Song Heng Chan | |
| Department of Mathematics National University of Singapore 2, Science Drive 2 Singapore 117543 Singapore |
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| Hamza Yesilyurt | |
| Department of Mathematics University of Florida 358 Little Hall Gainesville, FL 32611-8105 United States |
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