I am a mathematician independently working in Number Theory on Diophantine equations. I am working at the moment on the sums of three cubes problem.This is a repository to skim through.
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On the polynomial values represented by quadratic forms (July 2026)
arXiv:2607.06627 | Submitted to International Journal of Number Theory -
A Closed-Form Symbolic Generator for
$A^n + B^n = C^n + D^n$ (Jun 2025)
arXiv:2506.19173 | Harvard ADS
Closed-form solutions for n=2 and n=3 cases -
A Parameterization of the
$3 \times 3$ Magic Square of Squares Problem (Apr 2026)
Figshare
(Submitted to Notes on Number Theory and Discrete Mathematics)
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$A^n + B^n = C^n + D^n$ TaxicabPell.lean -
$3 \times 3$ Magic Square of Squares Problem MagicSquareOfSquares.lean -
On the polynomial values represented by quadratic forms sumsquares.lean
Note that [1] [2] [3] are flawed attempts at proving the non-existence of perfect cuboids from 2025.