Aspects of Hecke Symmetry I: Ramanujan Identities and Inversion Formulas

Abstract

We study two aspects of Hecke symmetry in this note: first, we conjecture a generalization of the Ramanujan identities to the case of automorphic forms of Hecke groups; second, we conjecture a generalization of an inversion formula from the theory of elliptic functions.

v1: 21 pages, 1 figure; v2: condensed to 12 pages, title modified, references added

References in corpus (3)

• Deconstructing zero: resurgence, supersymmetry and complex saddles
• Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
• Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations

Cited by in corpus (3)

• On Chebyshev Wells: Periods, Deformations, and Resurgence
• Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations
• Triangle Groups: Automorphic Forms and Nonlinear Differential Equations