National Changhua University of Education Institutional Repository : Item 987654321/17739

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17739

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17739

Title:	On the Ramanujan-Gollinitz-Gordon Continued Fraction
Authors:	Chan, Heng-Huat;Huang, Sen-Shan
Contributors:	數學系
Keywords:	Continued fraction;Units;Singular moduli;Modular equations
Date:	1997-03
Issue Date:	2013-12-30T06:56:26Z
Publisher:	Kluwer Academic Publishers
Abstract:	We derive many new identities involving the Ramanujan-Göllnitz-Gordon continued fraction H(q). These include relations between H(q) and H(q n ) , which are established using modular equations of degree n. We also evaluate explicitly H(q) at q = e - pÖn /2q=e−n2 for various positive integers n. Using results of M. Deuring, we show that H( ±e - pÖn /2 )H(e−n2) are units for all positive integers n.
Relation:	The Ramanujan Journal, 1(1): 75-90
Appears in Collections:	[math] Periodical Articles

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