Trott's Corner: Modular Equations of the Rogers-Ramanujan Continued Fraction -- from Wolfram Library Archive

Title

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

Author

Michael Trott

Organization:

Wolfram Research, Inc.

Department:

Scientific Information Group

Journal / Anthology

The Mathematica Journal

Year:

2004

Volume:

Issue:

Page range:

314-333

Description

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 .

Subjects

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

URL

http://www.mathematica-journal.com/issue/v9i2/contents/Corner9-2/Corner9-2.nb
http://www.mathematica-journal.com/issue/v9i2/contents/Corner9-2/Corner9-2_1.html

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how »