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math.NT 1

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2026 1

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Stable quadratic polynomials over $\mathbb{Q}(i)$

math.NT · 2026-06-24 · unverdicted · novelty 6.0

Extends eventual stability of quadratic iterates f = x² + 1/c to Q(i) by proving the case c ≡ 2 mod 4 is stable, supporting a prior conjecture with an auxiliary check due to lack of ordering.

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  • Stable quadratic polynomials over $\mathbb{Q}(i)$ math.NT · 2026-06-24 · unverdicted · none · ref 6

    Extends eventual stability of quadratic iterates f = x² + 1/c to Q(i) by proving the case c ≡ 2 mod 4 is stable, supporting a prior conjecture with an auxiliary check due to lack of ordering.