Prescribed-coefficients point-count formula for irreducible polynomials over finite fields
Prescribed-coefficients enumeration conjecture. There exist ω1,…,ωN∈Z‾\omega_1,\ldots,\omega_N\in\overline{\mathbb{Z}}ω1,…,ωN∈Z, all of norm q\sqrt qq, υ1,…,υN∈Z\upsilon_1,\ldots,\upsilon_N\in\mathbb{Z}υ1,…,υN∈Z,…