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Trott's Corner: Modular Equations of the Rogers-Ramanujan Continued Fraction

Michael Trott
Organization: Wolfram Research, Inc.
Department: Scientific Information Group
Journal / Anthology

The Mathematica Journal
Year: 2004
Volume: 9
Issue: 2
Page range: 314-333

In this issue's Corner, we will define and investigate the Rogers-Ramanujan continued fraction. Using high-order series expansions and modular linear algebra allows us to find new two and three-power modular equations for the Rogers-Ramanujan continued fraction. Using the function Recognize allows us to determine exact algebraic values for arguments of the form .

*Mathematics > Calculus and Analysis > Series
*Mathematics > Calculus and Analysis > Special Functions
*Mathematics > Number Theory