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math.NA2024
Computation and properties of the Epstein zeta function with applications to quantum systems
Andreas A. Buchheit, Jonathan Busse, Ruben Gutendorf
The Epstein zeta function generalises the classical Riemann zeta function to oscillatory lattice sums in higher dimensions and has recently emerged as a key tool in the simulation…
math.NA2024★ 2 cited
On the computation of lattice sums without translational invariance
Andreas A. Buchheit, Torsten Keßler, Kirill Serkh
This paper introduces a new method for the efficient computation of oscillatory multidimensional lattice sums in geometries with boundaries. Such sums are ubiquitous in both pure a…