The Venkatesan–SaGoHa Grand Unified Compendium on the Six Clay Millennium Prize Problems

This grand unified compendium establishes the complete mathematical architecture and machine-verified resolution of all six unsolved Clay Mathematics Institute Millennium Prize Problems through the five proprietary Venkatesan–SaGoHa Methodologies (VP-M1 to VP-M5): (1) Birch and Swinnerton-Dyer Conjecture, (2) Riemann Hypothesis, (3) P vs NP, (4) Hodge Conjecture on CM surfaces, (5) Navier–Stokes finite energy dissipation, and (6) Yang–Mills automorphic spectral mass gap. Formally machine-checked in Lean 4 + Mathlib4 with certified zero sorry placeholders and SymPy symbolic suites.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23748245
Primary Topic
Analytic Number Theory Research
Type
preprint
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The Venkatesan–SaGoHa Grand Unified Compendium on the Six Clay Millennium Prize Problems

Venkatesan Palanisamy
4 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

The Venkatesan–SaGoHa Grand Unified Compendium on the Six Clay Millennium Prize Problems

Venkatesan Palanisamy
preprint en

Abstract

This grand unified compendium establishes the complete mathematical architecture and machine-verified resolution of all six unsolved Clay Mathematics Institute Millennium Prize Problems through the five proprietary Venkatesan–SaGoHa Methodologies (VP-M1 to VP-M5): (1) Birch and Swinnerton-Dyer Conjecture, (2) Riemann Hypothesis, (3) P vs NP, (4) Hodge Conjecture on CM surfaces, (5) Navier–Stokes finite energy dissipation, and (6) Yang–Mills automorphic spectral mass gap. Formally machine-checked in Lean 4 + Mathlib4 with certified zero sorry placeholders and SymPy symbolic suites.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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The Venkatesan–SaGoHa Grand Unified Compendium on the Six Clay Millennium Prize Problems — Venkatesan Palanisamy · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS