IUT Effective Bounds Evaluator: Computational Evaluation of the MFHMP abc Bounds
Abstract
Python engine evaluating the effective abc/Szpiro bounds from Mochizuki–Fesenko–Hoshi–Minamide–Porowski (Kodai Math. J. 45, 2022) against known high-quality abc-triples. Identifies two structural limitations: an exponential constant with ~10^34 digits and a 3× exponent ratio. All computations use only published, peer-reviewed formulas.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 March 2026
- Language
- EN