TY - JOUR
AU1 - Chan, Heng
AU2 - Huang, Sen-Shan
AB - 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 

$$q = e^{ - \pi \sqrt n /2} $$

 for various positive integers n. Using results of M. Deuring, we show that 

$$H( \pm e^{ - \pi \sqrt n /2} ) $$

 are units for all positive integers n.
TI - Ramanujan-Göllnitz-Gordon Continued Fraction
JF - The Ramanujan Journal
DO - 10.1023/A:1009767205471
DA - 2004-10-14
UR - https://www.deepdyve.com/lp/springer-journals/ramanujan-g-llnitz-gordon-continued-fraction-ANmzdsovOq
SP - 75
EP - 90
VL - 1
IS - 1
DP - DeepDyve
ER -