Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Autor: Langer, Robin, Schlosser, Michael J., Warnaar, S. Ole
Rok vydání: 2009
Předmět:
Zdroj: SIGMA 5 (2009), 055, 20 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2009.055
Popis: We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.
Databáze: arXiv