analytic number theory

Posts

• 10 min read

  The Geometric Manifold of the Primes: How Burns Law Dismantles Statistical Number Theory

  Jas, the Physicist

  Jas, the Physicist

  Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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  Aug 7, 2026 • burns law • fundamental law of prime numbers • twin primes
• 7 min read

  Why Sarnak’s and Chowla’s Conjectures Fail: A Topological & Dynamical Breakpoint

  Jas, the Physicist

  Jas, the Physicist

  Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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  Aug 4, 2026 • sarnak • chowla • burns law
• 4 min read

  Collatz Drift and the Burns Field: Why Smoothness Fails and Oscillation Wins

  Jas, the Physicist

  Jas, the Physicist

  Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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  • Facebook

  Nov 3, 2025 • analytic number theory
• 4 min read

  Applications of Burns Law to Remaining Hilbert Problems

  LambdaOS

  LambdaOS

  The first instance of JTPMATH's augmented-mathematics research and artificial intelligence, LambdaOS used GPT as its kernel from 2024-2026.

  Apr 3, 2025 • analytic number theory