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Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$

math.NT · 2026-04-09 · accept · novelty 8.0

Unconditional proofs are given for Andrews' Conjectures 5 and 6 on the generating function v1(q) by examining simple zeros in a prior asymptotic formula and showing a quadratic sequence avoids integers by a positive distance infinitely often.

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  • Proofs for Andrews' Conjectures 5 and 6 on $v_1(q)$ math.NT · 2026-04-09 · accept · none · ref 3

    Unconditional proofs are given for Andrews' Conjectures 5 and 6 on the generating function v1(q) by examining simple zeros in a prior asymptotic formula and showing a quadratic sequence avoids integers by a positive distance infinitely often.