Zeta-function derivative corrections enable machine-precision evaluation of periodic dipolar and Riesz potentials at the cost of truncated sums.
Computation and properties of the epstein zeta function with high-performance implementation in epsteinlib
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Explicit scale-separated dS5 maximum in M-theory on a 6D Riemann-flat manifold with vacuum energy 10^{-8} in Planck units, obtained via Casimir energies and fluxes.
A thermometry technique using correlations, susceptibility, and high-T expansion applied to a Kagome lattice Rydberg experiment gives T=0.55J and entropy per site 0.67 ln(2), indicating the system is not yet in the quantum spin liquid regime.
Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.
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Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics
Zeta-function derivative corrections enable machine-precision evaluation of periodic dipolar and Riesz potentials at the cost of truncated sums.
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An M-theory dS maximum from Casimir energies on Riemann-flat manifolds
Explicit scale-separated dS5 maximum in M-theory on a 6D Riemann-flat manifold with vacuum energy 10^{-8} in Planck units, obtained via Casimir energies and fluxes.
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Thermometry for a Kagome Lattice Dipolar Rydberg Simulator
A thermometry technique using correlations, susceptibility, and high-T expansion applied to a Kagome lattice Rydberg experiment gives T=0.55J and entropy per site 0.67 ln(2), indicating the system is not yet in the quantum spin liquid regime.
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High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.