Recent posts tagged numbertheory

Level UI • 1 day • in Articles • 9 min read
Somewhere in the last year, "do we need an MCP server?" joined the list of questions that arrive in a brief before anyone has said what the thing is for. It is usually framed as MCP vs API, as though the Model Context Protocol were a newer kind of AP...
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  • ai
  • api
  • webdev
  • security
Jason Mullings • Jun 6 • in Videos • 3 min read
At the heart of the Riemann Hypothesis lies a deceptively simple question: can the real part of every non-trivial zero of the Riemann zeta function be proven to equal one-half? For over a century and a half, that question has resisted every answer. V...
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  • theanalystsproblem
  • mkmuniverse
  • numbertheory
  • quantum-mechanics
Jason Mullings • May 26 • in Articles • 2 min read
A Fresh Thermodynamic Lens on the Collatz Conjecture: The Collatz conjecture remains one of mathematics’ most deceptively simple unsolved problems: start with any positive integer, repeatedly apply “divide by 2 if even, or 3n+1 if odd,” and you’ll e...
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  • collatz
  • numbertheory
Jason Mullings • May 5 • in Articles • 2 min read
White Paper1 The Musical Fingerprint of the Collatz Conjecture: Listening for the 4-2-1 Loop. Mathematics is full of simple puzzles, but none are as notorious as the Collatz Conjecture. Pick a number: if it’s even, halve it; if odd, triple it and a...
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  • collatz
  • numbertheory
  • mkmuniverse
Jason Mullings • May 3 • in Articles • 1 min read
White Paper:1 https://jmullings.github.io/TheAnalystsProblem/HPHCERTIFICATION.html We present the third instalment of a systematic operator-theoretic programme toward the Riemann Hypothesis. Building on prior works establishing an algebraic singula...
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  • riemannhypothesis
  • mkmuniverse
  • numbertheory
Jason Mullings • May 2 • in Videos • 1 min read
Euler–Maclaurin Control: In this volume, we formalize one of the most delicate bridges in analytic number theory: the transition from discrete arithmetic sums to continuous analytic structure. The Euler–Maclaurin framework is deployed not as a class...
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  • numbertheory
  • mkmuniverse
  • riemannhypothesis
  • theanalystsproblem
Jason Mullings • Apr 24 • in Articles • 1 min read
Presenting "The Analyst's Problem: Hilbert Operator"... My paper develops a functional-analytic framework for encoding smoothed Dirichlet energy associated with the Riemann zeta function into a single compact, self-adjoint operator on a separable Hi...
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  • hilbertoperator
  • riemannhypothesis
  • numbertheory
  • mkmuniverse
Jason Mullings • Apr 23 • in Articles • 1 min read
AI Slop or Not? Certifying the Sech⁴ Kernel Against Bochner's and Mercer's Theorems I posted three equations to social media with one question underneath: does kH perfectly satisfy Bochner's and Mercer's theorems? Half the responses assumed it was A...
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  • bochner
  • mercer
  • numbertheory
  • mkmuniverse
Jason Mullings • Apr 22 • in Videos • 1 min read
Welcome to Volume VI of The Analyst’s Problem. In this interactive 3D demonstration we bring together three deep mathematical threads: The Large Sieve – the fundamental inequality that bounds Dirichlet polynomials and underpins modern analytic numbe...
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  • montgomeryvaughan
  • riemannhypothesis
  • numbertheory
  • mkmuniverse
Jason Mullings • Apr 20 • in Tutorials • 1 min read
https://jmullings.github.io/riemann-hypothesis-singularity-proof/RHBDNEQUIV.html...
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  • riemannhypothesis
  • numbertheory
  • mkmuniverse
Jason Mullings • Apr 18 • in Videos • 1 min read
Dirichlet Polynomial Control & ARC Reasoning Engine for AGI! In Volumes I–IV, The Analyst’s Problem built a mathematical engine around Dirichlet polynomials, Toeplitz energy, and a spectral “bridge” inspired by the Riemann Hypothesis. Volume V takes...
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  • riemannhypothesis
  • numbertheory
  • agi
  • mkmuniverse
Jason Mullings • Apr 17 • in Videos • 1 min read
The mathematics are proven. The engine is built. Now, you can run it yourself. This is the official application for The Analyst's Problem: Volume IV. It's not just a simulation; it's a live, physical encoding of the true architecture. This engine dy...
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  • riemannhypothesis
  • numbertheory
  • tradingbot
  • mkmuniverse
Jason Mullings • Apr 16 • in Videos • 1 min read
Welcome to Volume III of The Analyst's Problem: Diagonal Dominance. In this video, we dive deep into the spectral defence simulation I've built to demonstrate how advanced mathematical concepts can entirely replace traditional video game mechanics. ...
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  • riemannhypothesis
  • numbertheory
  • gamedesign
  • gamedev
Jason Mullings • Apr 12 • in Videos • 1 min read
The Riemann Hypothesis has stood unsolved for over 160 years — not because mathematicians haven't tried, but because the problem sits inside an ocean of chaos: infinite series, complex zeros, and analytic interference that obscures any clear path for...
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  • riemannhypothesis
  • numbertheory
  • theanalystsproblem
  • mkmuniverse
Jason Mullings • Apr 11 • in Videos • 1 min read
Dive into the deep mathematics of the Riemann Hypothesis with this interactive 3D visualization of the critical line! In this video, we explore the de Bruijn–Newman - MKM Equivalence Operator, bridging the gap between classical analytic number theo...
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  • riemannhypothesis
  • numbertheory
  • debruijnnewman
  • mkmuniverse
Jason Mullings • Mar 25 • in Articles • 5 min read
We've all seen it! The post in the early hours of the morning! I've done this, I've found that - “I solved the Riemann Hypothesis!” You take a quick peek! Another one. Another late-night manifesto. Another graph that looks convincing. You’ve been...
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  • riemannhypothesis
  • numbertheory
  • tdd
  • mkmuniverse
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