Riemann R(x) prime counting function approximation using complex Zeta zeroes

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.

Official repo for "The Genesis of e from Modular Substrate Theory". Certifies exact algebraic identities linking e, ln 2, and ζ(0) = -1/2 with Lean 4 (0 sorries). Features a high-precision Python suite showing robust D₆ dihedral phase quantization over 10,000 non-trivial Riemann zeros with extreme statistical significance (p ≈ 10⁻⁸³).

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.

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).

"Spectral Determinant of a Cutoff-Regularized Hamiltonian and the Riemann Zeta Function" - preprint

Jabri_lib — Jabri's Laboratory for Computational Proofs A public repository where every file contains one small idea, one computation, one proof. No bloated notebooks. No hidden parameters. Just focused experiments that you can run, check, and falsify. Structure: - Zx_5.ipynb : Test the Jabri identity on the 5th zero of ζ(s) - Zx_28.ipy

探索生成论、差异性的跨学科框架 A transdisciplinary framework exploring generative worldview

Research project exploring operator-theoretic approaches to the Riemann Hypothesis, combining spectral theory and computational analysis. Includes English (main) and Portuguese versions.

Función Zeta de Riemann programado en c++

Spiral model unifying universal evolution and observer-based information structures.

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。

A proof of the Riemann Hypothesis via toroidal geometry. Zeros are caustic singularities forced to the throat by the Gram matrix cosh structure.

Sheaf neural network over the MZV motivic weight filtration for odd Riemann zeta value research, with GPU-accelerated polynomial continued fraction search

Notes on the Zeta Function

Repo with plots for Complex Analysis Course. Riemman Zeta function example.

New trigonometry of the zeta function with connections to fractals zeta sin and zeta cos (zsin, zcos) with Non-Archimedean

Generation of an image of critical line of the zeta-function.

N-zero explicit formula approximation study: numerical analysis of ψ(x) and consistency with the Riemann Hypothesis

Book IV of Dark Geometry: complete spectral theory of the holographic fibration H = M^d ×σ F; the Hertault Axiom e^(dσ)=I; spectral reformulations of RH/BSD/Yang–Mills; black-hole thermodynamics; G₄, σ_s from d=3. 400+ theorems, zero free parameters. Verification code.