Mathematical Rigour
— On things that matter and things that don't.
Riemann Zeta
— Analytic continuation of the Riemann Zeta function.
Riemann Xi
— Interactive Xi Plot
Visualization of a power series
— A power series animated over a range of inputs.
Dirichlet Eta Function over an Im range
— Dirichlet Eta plotted over an imaginary range.
Integer Factorization
— Plotting integer factors using Cos.
Geometric Sine
— Calculating Sine with the Geometric Series.
Harmonic Sine
— Calculating Sine with the Harmonic Series.
Harmonic Sine Relation to Riemann Zeta Function
— Relation between Harmonic Sine Decomposition and Riemann Zeta Function.
RH Proof Sketch via Harmonic Sine Reconstruction [V2][V3]
— A sketch of the Riemann Hypothesis via Harmonic Sine Reconstruction
Greedy Harmonic Decomposition
— Decomposing angles using a greedy harmonic approach.
Greedy Harmonic Sieve
— Constructing a sieve using a greedy harmonic approach.
Greedy Harmonic Thresholds
— Analyzing thresholds in a greedy harmonic decomposition.
Greedy Harmonic Comparison
— Comparing greedy harmonic decompositions to optimal ones.
Greedy Harmonic Decomposition and the Dirichlet Eta Function
— Connecting greedy harmonic sub-sums to the Dirichlet eta function.
Analytic Continuation of the Greedy Dirichlet Sub-Sum
— Meromorphic extension of the greedy sub-sum to the entire complex plane.
Quantum Egyptian Functional Equation
— Unifying Egyptian fractions, modular tensor categories, Dirichlet characters, and theta series.