Hanxin Zhang

A uniform sub-three-fifths bound for exceptional abc triples

GPT 5.6 Sol discovered the result and proof presented in this paper. We establish a new uniform upper bound for the number of exceptional abc triples throughout the full subcritical range. The proof combines an anatomic decomposition with Fourier analysis, geometry-of-numbers est...

Improved interval bounds for exceptional abc triples via full six-layer geometry

GPT 5.6 Sol found the result and proof presented in this paper. We establish improved upper bounds for the number of exceptional triples associated with the abc conjecture across several explicit ranges of the exponent parameter. The argument refines an existing analytic reductio...