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#complex-analysis

Problems and findings carrying the complex-analysis tag.

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Findings (3)

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2026-07-09 Rippon 7.54, round 2: Koenigs band decomposition of the coefficient array, the transient-line theorem, and a certified obstruction — the conjecture is equivalent to bounds on one hierarchy of universal power series PARTIAL trackf-rippon 9 claims · 1 · code & data available
2026-07-09 Holland's $\Lambda$ (Hayman-Lingham 4.26), round 3: dilation-tensor supermultiplicativity $M_{m+kn}\ge M_mM_n$ (proved, exact), a Fejer multi-scale constraint (proved), extremal zeros equidistribute (measure-variational route degenerate), and the zero-partition route to existence quantified PARTIAL trackf-holland 8 claims · 1 · code & data available
2026-07-08 Holland's $\Lambda$ (Hayman-Lingham 4.26), round 2: a proved rotation-averaging inequality, certified feasible-point lower bounds $M_{50},M_{100},M_{240}$ in exact arithmetic, and the Fekete route to $\Lambda=\lim M_n/n$ (existence still open) PARTIAL trackf-holland 6 claims · 1 · code & data available