This research investigates weight -12 normalization effects in modular models, suggesting novel implications for boundary and bulk growth relationships.
Key Points
To explore the mathematical connections between weight -12 models, Tate uniformization, and Rademacher growth behaviors.
Studied a weight -12 modular model based on the Tate curve and its discriminant.
Formulated $q^{\mathbb Z}$-periodization using a restricted operator $ Theta_q$.
Analyzed convergence behavior and established explicit Neumann inverses for a class of kernels.
Used the exact Rademacher expansion of $1/\Delta$ to derive an asymptotic formula.
Identified a controlled Tate-normalized uniformization package.
Derived the asymptotic behavior of $c(n)$ for the dominant Hardy--Ramanujan form.
Presented a mathematical interpretation of boundary data in relation to bulk growth using a holographic framework.