3 papers
math.NT2026
Hecke Eigenform Product Identities for Full-Level Hilbert Modular Forms
Dijia Chen, Bowen Gan, Chao Qin +1
We study full-level Hilbert Hecke eigenform product identities over totally real fields of degree at least two, allowing arbitrary compatible narrow class characters. Combining our…
math.CO2026
Bounded Ratios of Lorentzian Polynomials I: The Ternary Theory and Optimal Bounding Constants
Dijia Chen, Bowen Gan, Ivy Liu +2
We study bounded ratios and optimal bounding constants among the normalized coefficients of ternary Lorentzian polynomials. For every fixed -convex support and in arbitrary degr…
math.CO2026
Bounded Ratios of Lorentzian Polynomials II: The Complete Quadratic Local-to-Global Classification
Dijia Chen, Bowen Gan, Ivy Liu +2
Every quadratic Hessian slice of a Lorentzian polynomial yields bounded monomial ratios among the normalized coefficients of the polynomial. We determine exactly for which pairs $(…