David Hilbert’s Tenth Problem and the Art and Science of Problem Solving

Our goal is to write and publish a manuscript about our solution to David Hilbert’s Tenth Problem. The work is ongoing and very challenging. And we hope to complete our work by January 06, 2023.

Is the Euler–Mascheroni constant an algebraic number or a transcendental number?

“We must know. We will know!”

“The conviction of the solvability of every mathematical problem is a powerful incentive to the worker. We hear within us the perpetual call: There is the problem. Seek its solution. You can find it by pure reason, for in mathematics there is no ignorabimus.” — David Hilbert.

A Brief Analysis of the Collatz Conjecture

Algorithm for the Collatz Conjecture. “In short the Collatz problem is simple enough that anyone can understand it, and yet relates not just to number theory (as described in other answers) but to issues of decidability, chaos, and the foundations of mathematics and of computation. That’s about as good as it gets for a problemContinue reading “A Brief Analysis of the Collatz Conjecture”