Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Partition identities involving gaps and weights


Author: Krishnaswami Alladi
Journal: Trans. Amer. Math. Soc. 349 (1997), 5001-5019
MSC (1991): Primary 11P83, 11P81; Secondary 05A19
MathSciNet review: 1401759
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We obtain interesting new identities connecting the famous partition functions of Euler, Gauss, Lebesgue, Rogers-Ramanujan and others by attaching weights to the gaps between parts. The weights are in general multiplicative. Some identities involve powers of 2 as weights and yield combinatorial information about some remarkable partition congruences modulo powers of 2.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 11P83, 11P81, 05A19

Retrieve articles in all journals with MSC (1991): 11P83, 11P81, 05A19


Additional Information

Krishnaswami Alladi
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email: alladi@math.ufl.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01831-X
PII: S 0002-9947(97)01831-X
Keywords: Partitions, weights, gaps, Durfee squares, powers of 2
Received by editor(s): October 10, 1995
Received by editor(s) in revised form: June 3, 1996
Additional Notes: Research supported in part by the National Science Foundation Grant DMS 9400191.
Article copyright: © Copyright 1997 American Mathematical Society