Riemann R(x) prime counting function approximation using complex Zeta zeroes
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Oct 2, 2024 - Python
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zeta-function
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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.
python computational-mathematics interval-arithmetic interval-arithmetic-evaluator mpmath riemann-hypothesis analytic-number-theory zeta-function winding-number-algorithm argument-principle krawczyk zeta-zeros rigorous-verification
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Nov 20, 2025 - Python
Zeta Collapse Model (ZCM). System architecture and database are patent-pending and not included.
python-library math-library deterministic signal-processing-algorithms harmonic-analysis signal-processing-filters zeta-function ai-native entropy-reduction collapse-models zcm
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Dec 3, 2025 - Python
This repository presents Version 2.5 of a formally complete, structurally reinforced, and type-theoretically encoded resolution of the Riemann Hypothesis (RH), formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST v12.5).
riemann-hypothesis zeta-function critical-line collapse-theory topological-moduli-collapse sha-obstruction ext-class-cohomology functorial-resolution langlands-correspondence collapse-rh-theorem zfc-compatible-proof ak-high-dimensional-projection
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Aug 4, 2025 - TeX
Official repository for the Modular Substrate Theory (MST). Unifying alpha, H0, e, and zeta(0) via a Z/6Z substrate. Featuring 110-digit precision audits, a 10^-14 exact derivation of the fine-structure constant, and the resolution of the Hubble tension.
python jupyter-notebook prime-numbers theoretical-physics number-theory fine-structure-constant high-precision mpmath hubble-constant zeta-function cosmology-particle-physics fundamental-physics vacuum-impedance-modulation riemann-hypothesis-collatz-hubble-tension quantum-gravity-cosmology-astrophysics information-theory-cosmology-cifr-pnpi modular-substrate-theory z6z hubble-tension-resolution
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Feb 18, 2026 - TeX
Computational validation of the modular Z/6Z structure in Riemann zeros. Includes the Reconstruction Theorem, logarithmic spectroscopy (12.69x SNR), and Python code to replicate phase resonance.
python reproducible-research computational-mathematics algorithm-challenges spectral-analysis prime-numbers-algorythm mersenne-prime riemann-hypothesis zeta-function
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Feb 4, 2026 - Jupyter Notebook
A proof of the Riemann Hypothesis via toroidal geometry. Zeros are caustic singularities forced to the throat by the Gram matrix cosh structure.
navier-stokes number-theory clifford-algebras riemannian-geometry riemannian-manifold navier-stokes-equations riemann-hypothesis zx-calculus zeta-function navier-stokes-characteristic-boundary-condition
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Dec 29, 2025 - Python
Generation of an image of critical line of the zeta-function.
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Dec 4, 2021
Repo with plots for Complex Analysis Course. Riemman Zeta function example.
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Jun 7, 2021 - Jupyter Notebook
Spiral model unifying universal evolution and observer-based information structures.
entropy information-theory cosmology prime-numbers consciousness unified-theory zeta-function observer-model spiral-structure future-physics
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Apr 22, 2025
Unified constructive and non-constructive proof of the Riemann Hypothesis. Prime density, ζ-function symmetry, and A-type structure ensure full consistency. リーマン予想に対する構成的・非構成的な統合証明。素数密度・ゼータ関数対称性・A型構成により完全整合を実現。
math proof number-theory complex-analysis constructive riemann-hypothesis zeta-function critical-line prime-density non-constructive
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Jul 2, 2025 - Python
🔍 Certify and explore the first 1,000 nontrivial zeros of the Riemann zeta function with a reliable, reproducible dataset for research and analysis.
python computational-mathematics interval-arithmetic interval-arithmetic-evaluator mpmath riemann-hypothesis analytic-number-theory zeta-function winding-number-algorithm argument-principle krawczyk zeta-zeros rigorous-verification
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Feb 21, 2026 - Python
📉 Implement the Zeta Collapse Model to effectively isolate stable data subsets in noisy environments without relying on machine learning or statistics.
python-library math-library deterministic signal-processing-algorithms harmonic-analysis signal-processing-filters zeta-function ai-native entropy-reduction collapse-models zcm
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Feb 21, 2026 - Python
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