Differential and Functional Identities for the Elliptic Trilogarithm
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Differential and Functional Identities for the Elliptic Trilogarithm
|
|
| Creator |
Strachan, Ian A.B.
|
|
| Description |
When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are derivatives (including derivatives with respect to the modular parameter) of the elliptic trilogarithm function introduced by Beilinson and Levin. A differential identity satisfied by this function is also derived. These generalized Frobenius-Stickelberger identities play a fundamental role in the development of elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde equations of associativity, with the simplest case reducing to the above mentioned differential identity.
|
|
| Date |
2019-02-19T18:02:02Z
2019-02-19T18:02:02Z 2009 |
|
| Type |
Article
|
|
| Identifier |
Differential and Functional Identities for the Elliptic Trilogarithm / Ian A.B. Strachan // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 11F55; 53B50; 53D45 http://dspace.nbuv.gov.ua/handle/123456789/149173 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|