Joesph D. Burke III

CRT-Theta Lifts and Toric Resolvents for Cyclotomic Mock-Theta Values: Exact Foundations for a Hecke-Projected Arithmetic Detector

For a prime p ≥ 7, the finite cyclotomic value Tp governs the odd-order radial limit of Ramanujan's third-order mock theta function f(q). This paper rewrites Tp as a centred CRT-weighted unary-theta packet, proves an explicit chamber rule for the attached winding number, and deri...