Differential equations, mirror maps and zeta values
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) $\zeta(4)$. We also indicate certain observations that might become a subject of further research.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- February 2004
- DOI:
- arXiv:
- arXiv:math/0402386
- Bibcode:
- 2004math......2386A
- Keywords:
-
- Mathematics - Number Theory;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Algebraic Geometry;
- Mathematics - Classical Analysis and ODEs;
- 14J32 (Primary);
- 11M06;
- 11B83;
- 32S40;
- 33C20;
- 34M15;
- 34M25 (Secondary)
- E-Print:
- AmSTeX, 38 pages