RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"-Reference-Cited by-同舟云学术

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

Published:2010-05 Issue:03 Volume:06 Page:673-680
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

CHAN HEI-CHI¹

Affiliation:

1. Mathematical Sciences Department, University of Illinois at Springfield, Springfield, IL 62703-5407, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110003150

Reference25 articles.

1. Distribution of the partition function modulo composite integers M

2. Congruence properties for the partition function

3. Encycl. Math. and Its Appl.;Andrews G. E.,1976

4. Special Functions

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