Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• Hauptverfasser: Kels, A.P., Yamazaki, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209451
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index / A. P. Kels, M. Yamazaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 41 назв. — англ.

We prove a pair of transformation formulas for multivariate elliptic hypergeometric sum/integrals associated to the An and BCn root systems, generalising the formulas previously obtained by Rains. The sum/integrals are expressed in terms of the lens elliptic gamma function, a generalisation of the e...