Differential and Functional Identities for the Elliptic Trilogarithm

Details Differential and Functional Identities for the Elliptic Trilogarithm Differential and Functional Identities for the Elliptic Trilogarithm

2009-03-13

arxiv.org/abs/0903.2425v1

SIGMA 5 (2009), 031, 12 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2009.031

When written in terms of $\vartheta$-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.

Affiliated with

Also associated with

No associations

Rating

Differential and Functional Identities for the Elliptic Trilogarithm does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Differential and Functional Identities for the Elliptic Trilogarithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential and Functional Identities for the Elliptic Trilogarithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229155