Title
Combinatorial proofs of Ramanujan's 1ψ1 summation and the q-Gauss summation
Abstract
Theorems in the theory of partitions are closely related to basic hypergeometric series. Some identities arising in basic hypergeometric series can be interpreted in the theory of partitions using F-partitions. In this paper, Ramanujan's 1 ψ1 summation and the q-Gauss summation are established combinatorially.
Year
DOI
Venue
2004
10.1016/j.jcta.2003.10.002
J. Comb. Theory, Ser. A
Keywords
Field
DocType
combinatorial proof,q-gauss summation,basic hypergeometric series
Euler summation,Discrete mathematics,Combinatorics,Basic hypergeometric series,Hypergeometric identity,Ramanujan summation,Divergent series,Hypergeometric function of a matrix argument,Summation of Grandi's series,Mathematics,Borel summation
Journal
Volume
Issue
ISSN
105
1
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
9
1.33
4
Authors
1
Name
Order
Citations
PageRank
Ae Ja Yee14412.38