- Title
- A magnetic double integral
- Creator
- Broadhurst, David; Zudilin, Wadim
- Relation
- Journal of the Australian Mathematical Society Vol. 107, Issue 1, p. 9-25
- Publisher Link
- http://dx.doi.org/10.1017/S1446788718000186
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2019
- Description
- In a recent study of how the output voltage of a Hall plate is affected by the shape of the plate and the size of its contacts, U. Ausserlechner has come up with a remarkable double integral that can be viewed as a generalisation of the classical elliptic ‘arithmetic–geometric mean (AGM)’ integral. Here we discuss transformation properties of the integral, which were experimentally observed by Ausserlechner, as well as its analytical and arithmetic features including connections with modular forms.
- Subject
- elliptic integral; arithmetic-geometric mean; modular form; arithmetic differential equation
- Identifier
- http://hdl.handle.net/1959.13/1450991
- Identifier
- uon:44071
- Identifier
- ISSN:1446-7887
- Rights
- © 2019 Australian Mathematical Publishing Association Inc. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Language
- eng
- Full Text
- Reviewed
- Hits: 783
- Visitors: 871
- Downloads: 90
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 203 KB | Adobe Acrobat PDF | View Details Download |