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Repository for the FermulerPy core package. Fermulerpy is useful for problems related to various fields of Number Theory.
Analytic combinatorics and dynamical systems
slides accompanying the blog and YouTube channel
Analytic number theory club notes and experiments
Certified first 1,000 nontrivial zeros of the Riemann zeta function using a dual-evaluator (mpmath ζ + η‐series) contour method with strict Krawczyk isolation and automatic refinement.
Code relating to the Bateman-Horn Conjecture
This repository contains a modular Python toolkit for studying the Riemann-Zeta function on the critical line and certifying its non-trivial zeros.
Nine-paper series introducing Constitutional Forcing — a mechanism by which algebraic structure uniquely determines governing constants across prime arithmetic, information theory, and fluid dynamics. θₖ = (2ᵏ − k)/2ᵏ. Khayyam Wakil, ARC Institute of Knowware, 2026.
The Generalized Riemann Hypothesis via L-function zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
Machine-checked (Lean) conditional reduction of the Riemann Hypothesis to explicit analytic assumptions (A, B, C) with reproducible certificates.
The Artin Holomorphy Conjecture via Artin L-function regularity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
A constructive and AI-assisted approach to the Riemann Hypothesis, focusing on structured classification and critical line constraints.
The Twin Prime Conjecture via prime-gap persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
Backward parabolic positivity barriers for the Xi flow, with symbolic and numeric checks supporting a proof of the Riemann Hypothesis.
Investigates deterministic prime-gap interiors using the Divisor Normalization Identity (DNI). Establishes the Gap Winner Rule (GWR) the raw-Z maximizer is always the leftmost min-d(n) carrier. Validates the No-Later-Simpler-Composite Theorem with zero violations through 10^18. Documents hierarchical first-arrival laws and square-phase terminal.
The Grand Riemann Hypothesis via Artin-automorphic zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
The Bateman-Horn Conjecture via prime-pattern density persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
Infinitely many n^2 + 1 primes via polynomial-prime persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
Schinzel's Hypothesis H via polynomial-pattern persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
Spectral floor normalization and Hermite-basis structural analysis for Gaussian-Laguerre operator models
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