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Revisiting Kobayashi hyperbolicity on planar domains

math.CV · 2026-04-21 · unverdicted · novelty 5.0

New elementary proofs establish complete Kobayashi hyperbolicity for the twice-punctured plane and bounded planar domains without using the disk cover or negative curvature, with applications to Picard-type theorems and a Hahn-inspired characterization.

Some factorization results for formal power series

math.NT · 2025-01-09 · unverdicted · novelty 5.0

Factorization theorems with sharp bounds and an extension of the Dumas irreducibility criterion to formal power series over PIDs and DVRs using Newton polygons and constant term factorizations.

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  • Some factorization results for formal power series math.NT · 2025-01-09 · unverdicted · none · ref 7

    Factorization theorems with sharp bounds and an extension of the Dumas irreducibility criterion to formal power series over PIDs and DVRs using Newton polygons and constant term factorizations.