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Multiple sine, multiple elliptic gamma functions and rational cones
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2014 (English)In: Article in journal (Refereed) Submitted
Description
Abstract [en]

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
2014.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-267598OAI: oai:DiVA.org:uu-267598DiVA: diva2:873724
Available from: 2015-11-24 Created: 2015-11-24 Last updated: 2017-03-27

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