# Explicit logarithmic bounds [All sections](../README.md) ## Modules | Module | Verified result | |---|---| | [RiemannBounds](RiemannBounds.en.md) | Two-sided bounds for the explicitly defined kappaCrit with coefficient −1/8, for n ≥ 1000000. | | [RiemannMainTerm](RiemannMainTerm.en.md) | The specified main logarithmic term lies between zero and one on the stated domain. | | [RiemannNumericBound](RiemannNumericBound.en.md) | A stronger bound placing the main term in (1/2,1). | | [RiemannExplicitBound](RiemannExplicitBound.en.md) | The bounds kappaCrit > 63/128 > 0.49 and kappaCrit < 1, collected in a formal suite. | ## Scope These are bounds for explicitly defined scalar functions. No connection to zeta zeros or proof of the Riemann hypothesis is established. [Contributing](../CONTRIBUTING.en.md) · [Validation](../VERIFICATION.en.md)