- Title
- A study of elliptic gamma function and allies
- Creator
- Pasol, Vicenţiu; Zudilin, Wadim
- Relation
- Research in the Mathematical Sciences Vol. 5, no. 39
- Publisher Link
- http://dx.doi.org/10.1007/s40687-018-0158-9
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2018
- Description
- We study analytic and arithmetic properties of the elliptic gamma function [formula could not be replicated] in the regime p = q, in particular, its connection with the elliptic dilogarithm and a formula of S. Bloch. We further extend the results to more general products by linking them to non-holomorphic Eisenstein series and, via some formulae of D. Zagier, to elliptic polylogarithms.
- Subject
- theta function; elliptic gamma function; elliptic dilogarithm; elliptic polylogarithm
- Identifier
- http://hdl.handle.net/1959.13/1409137
- Identifier
- uon:35950
- Identifier
- ISSN:2197-9847
- Rights
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Language
- eng
- Full Text
- Reviewed
- Hits: 696
- Visitors: 810
- Downloads: 114
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 502 KB | Adobe Acrobat PDF | View Details Download |