Working on the mathematics Ramanujan left behind — his Lost Notebook, special functions and the geometry of ellipses.
“An equation for me has no meaning unless it expresses a thought of God.” — attributed to S. Ramanujan
Each paper states one clear result, gives a proof, and comes with a calculator or code so the numbers can be checked.
The smallest \(k\) for which \(y^2 = x^3 - k^2x\) has rank 7 (OEIS A194687). Only an upper bound was known since 2004.
One turn of the elliptical helix is exactly an ellipse perimeter — so Ramanujan's formula gives it in closed form.
Andrews and Berndt could not identify K and λ. Six-fold symmetry of the Eisenstein integers settles them.
Claims that Andrews and Berndt called wrong become a theorem about units of \(\mathbb{Z}[2^{1/5}]\).
The expected domain of Entry 12.2.3 fails for r = 0: the series diverges for 0 < Re s < 1/4.
I am an independent researcher from Khorezm, Uzbekistan. My work starts from places where Ramanujan wrote a formula and later readers could not say what it meant — and tries to make it precise, prove it, and turn it into something anyone can compute.
Every result is published openly with a DOI, and every paper comes with a calculator or code, so that the numbers can be checked by anyone, not taken on trust.