论文信息 - Combinatorial Proofs of q-Series Identities

Combinatorial Proofs of q-Series Identities

We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jimenez-Urroz, and Ono using the theory of basic hypergeometric series.

Robin J. Chapman

[1] George E. Andrews,et al. Two theorems of Gauss and allied identities proved arithmetically. , 1972 .

[2] G. Andrews. Ramanujan's “Lost” Notebook V: Euler's partition identity , 1986 .

[3] Robin J. Chapman. Franklin's Argument Proves an Identity of Zagier , 2000, Electron. J. Comb..

[4] D. Zagier. Vassiliev invariants and a strange identity related to the Dedekind eta-function , 2001 .

[5] George E. Andrews,et al. q-series identities and values of certain L-functions , 2001 .