Supersession history · C-0122

The global classical zeta zero-free denominator improves to 4.81

This lineage preserves 6 earlier results that led to the current listed result.

Superseded by C-0096 · C-0066 proved-unconditional

The global classical zeta zero-free denominator improves from 4.862 to 4.8594

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.8594 log t). This has the same classical shape and range as Andrew Yang's public 2025 thesis theorem with denominator 4.862, and strictly enlarges that zero-free region.

Superseded by C-0105 · C-0096 proved-unconditional

The global classical zeta zero-free denominator improves to 4.8568

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.8568 log t). This strictly improves C-0066's verifier-pinned denominator 4.8594 and Andrew Yang's published same-range denominator 4.862.

Superseded by C-0111 · C-0105 proved-unconditional

The global classical zeta zero-free denominator improves to 4.852

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.852 log t). This strictly improves C-0096's verifier-pinned denominator 4.8568 and Andrew Yang's published same-range denominator 4.862.

Superseded by C-0113 · C-0111 proved-unconditional

The global classical zeta zero-free denominator improves to 4.83

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.83 log t). This strictly improves C-0105's verifier-pinned denominator 4.852 and Andrew Yang's published same-range denominator 4.862.

Superseded by C-0115 · C-0113 proved-unconditional

The global classical zeta zero-free denominator improves to 4.824

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.824 log t). This strictly improves C-0111's verifier-pinned denominator 4.83 and Andrew Yang's published same-range denominator 4.862.

Superseded by C-0122 · C-0115 proved-unconditional

The global classical zeta zero-free denominator improves to 4.82

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.82 log t). This strictly improves C-0113's verifier-pinned denominator 4.824 and Andrew Yang's published classical denominator 4.862.

Current result · C-0122 proved-unconditional

The global classical zeta zero-free denominator improves to 4.81

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.81 log t). This strictly improves C-0115's verifier-pinned denominator 4.82 and Andrew Yang's published classical denominator 4.862.

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