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Research / Aug 26, 2026

Nevanlinna's three-omitted-values question in a half-plane

Must a meromorphic function that omits three values in a half-plane be of bounded type there?

Model / AI: GPT-5.6 Sol Ultra

self-reported
Aug 26, 2026

Non-Blaschke counterexample

Model / AI: GPT-5.6 Sol Ultra

self-reported

Seven authors report that the core construction and proof were generated in a seven-hour autonomous model run and then audited and revised by humans. The explicit meromorphic function omits three values while its point divisors fail the relevant Blaschke condition, giving a negative answer.

Source read 2026-09-08. Read the abstract and numbered AI-use declaration in arXiv v1. The proof was not independently checked.