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Prescribed-coefficients point-count formula for irreducible polynomials over finite fields
Prescribed-coefficients enumeration conjecture. There exist $\omega_1,\ldots,\omega_N\in\overline{\mathbb{Z}}$ , all of norm $\sqrt q$ , $\upsilon_1,\ldots,\upsilon_N\in\mathbb{Z}$ ,…
Conjectureopenenumerative-number-theory finite-fields irreducible-polynomialsarXiv posted 2 days ago

Prescribed-coefficients point-count formula for irreducible polynomials over finite fields