Differential equations, mirror maps and zeta values
Gert Almkvist (Lund), Wadim Zudilin (Moscow)
TL;DR
This paper analytically investigates differential equations that generate mirror maps, introduces new examples including one related to rational approximations of zeta(4), and suggests directions for future research.
Contribution
It provides new examples of mirror maps derived from differential equations, including a novel connection to zeta(4) approximations.
Findings
New mirror map examples presented
Connection between mirror maps and zeta(4) approximations established
Observations proposed for further research
Abstract
The aim of this work is an analytic investigation of differential equations producing mirror maps as well as giving new examples of mirror maps; one of these examples is related to (rational approximations to) . We also indicate certain observations that might become a subject of further research.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Mathematical Dynamics and Fractals · Nonlinear Waves and Solitons