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Mathematics

RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"

H. Chan

2010.5.1International Journal of Number Theory

DOI: 10.1142/s1793042110003150

tlooto Summary

Proves an analog of Ramanujan's 'Most Beautiful Identity' related to cubic continued fractions.

Abstract

In this paper, we prove an analog of Ramanujan's "Most Beautiful Identity". This analog is closely related to Ramanujan's beautiful results involving the cubic continued fraction.

Citation format

CHAN, H. RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY". International Journal of Number Theory, 2010, 06: 673–680.