Classifies f-bialgebraic sets for Böttcher coordinates of polynomials and proves Ax-Lindemann-Weierstrass and Ax-Schanuel analogs when the Julia set is disconnected.
Lindemann, Ueber die Zahl π,Mathematische Annalen20(1882), 213–225
2 Pith papers cite this work, alongside 159 external citations. Polarity classification is still indexing.
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Derives tail criteria for rationality of e+π and audits Apéry-type certificates across several families, concluding no non-circular mechanism exists in the tested low-complexity cases.
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Bialgebraic geometry of B\"ottcher coordinates
Classifies f-bialgebraic sets for Böttcher coordinates of polynomials and proves Ax-Lindemann-Weierstrass and Ax-Schanuel analogs when the Julia set is disconnected.
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Tail Criteria, No-Go Audits, and Ap\'ery-Type Certificate Obstructions for the Irrationality of e+\pi
Derives tail criteria for rationality of e+π and audits Apéry-type certificates across several families, concluding no non-circular mechanism exists in the tested low-complexity cases.