Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Some new observations on the Göllnitz-Gordon and Rogers-Ramanujan identities

Author: Krishnaswami Alladi
Journal: Trans. Amer. Math. Soc. 347 (1995), 897-914
MSC: Primary 11P82; Secondary 05A30, 11B65, 11P81, 33D10
MathSciNet review: 1284910
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Two new, short and elementary proofs of the Göllnitz-Gordon identities are presented by considering the odd-even split of the Euler Pentagonal Series and the Triangular Series of Gauss. Using this approach the equality of certain shifted partition functions are established. Next, the odd and even parts of the famous Rogers-Ramanujan series are shown to have interesting product representations ($ \bmod 80$). From this, new shifted partition identities are derived.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 11P82, 05A30, 11B65, 11P81, 33D10

Retrieve articles in all journals with MSC: 11P82, 05A30, 11B65, 11P81, 33D10

Additional Information

PII: S 0002-9947(1995)1284910-4
Keywords: Göllnitz-Gordon identities, Rogers-Ramanujan identities, odd-even split, shifted partition identities
Article copyright: © Copyright 1995 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia