Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Ashok, Sujay K., Jatkar, Dileep P., Raman, Madhusudhan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210609
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations. Sujay K. Ashok, Dileep P. Jatkar and Madhusudhan Raman. SIGMA 16 (2020), 001, 26 pages

We study various relations governing quasi-automorphic forms associated with discrete subgroups of SL(2, ℝ), namely the Hecke groups. We show that the Eisenstein series associated to a Hecke group H(m) satisfy a set of m coupled linear differential equations, which are natural analogues of the well-...