Quadratic Fourier projection of hyperbolic arcsine kernels yields closed identities for quartic central-binomial harmonic sums with π, L=log(1+√2), and polylog companions at (√2−1)².
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Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums
Quadratic Fourier projection of hyperbolic arcsine kernels yields closed identities for quartic central-binomial harmonic sums with π, L=log(1+√2), and polylog companions at (√2−1)².