Triangle Groups: Automorphic Forms and Nonlinear Differential 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/123456789/211018
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Triangle Groups: Automorphic Forms and Nonlinear Differential Equations. Sujay K. Ashok, Dileep P. Jatkar and Madhusudhan Raman. SIGMA 16 (2020), 102, 13 pages

We study the relations governing the ring of quasiautomorphic forms associated with triangle groups with a single cusp, thereby extending our earlier results on Hecke groups. The Eisenstein series associated with these triangle groups are shown to satisfy Ramanujan-like identities. These identities,...