Multiple sine, multiple elliptic gamma functions and rational cones
2014 (English)Article in journal (Refereed) Submitted
We define generalizations of the multiple elliptic gamma functions and the multiple sine functions, labelled by rational cones in R^r. For r=2,3 we prove that the generalized multiple elliptic gamma functions enjoy a modular property determined by the cone. This generalizes the modular properties of the elliptic gamma function studied by Felder and Varchenko. The generalized multiple sine enjoy a related infinite product representation, generalizing the results of Narukawa for the ordinary multiple sine functions.
Place, publisher, year, edition, pages
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-267598OAI: oai:DiVA.org:uu-267598DiVA: diva2:873724