Ilya Balashov

The Conductor-21 L-Function: Certified Zeros, Exact Laws, and a Density–Prime Operator

We study one explicit L-function — the degree-8 Artin/Hecke L-function L(s, χ₈) of PSL(2,7) at conductor 21¹⁰ — and the rigid six-member family it belongs to. The paper records the abelian reduction RH(χ₈) ⟺ GRH(ψ), for an explicit cubic Hecke character ψ, by Artin induction (no...