3 papers
math.GM2026
A Ramanujan Pell Elliptic K3 Surface and Primitive Five-Cube Near Misses
K. Srinivasa Raghava
We construct a trace-16 Ramanujan--Pell family of primitive positive five-cube near misses \[ a_n^3+b_n^3+c_n^3+d_n^3+e_n^3=t_n^3+(-1)^{n+1}, \] obtained from a six-cube identity o…
math.GM2026
Boolean Walsh Eta Units and Eisenstein Bases For Squarefree Levels
K. Srinivasa Raghava
Let be squarefree and let be its Boolean divisor cube. To each Boolean character we attach the eta-quotient \[ R_T^{(M)}(τ)=\prod_{d\mid M}η(dτ)^{χ_T(d)}, \qquad…
math.NT2026
Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums
K. Srinivasa Raghava
Classical expansions of powers of the inverse sine contain central-binomial coefficients and finite repeated harmonic sums. We place the odd-square and ordinary-square coefficient…