Singular Euler–Maclaurin expansion on multidimensional lattices

DOI10.1088/1361-6544/ac73d0zbMath1492.65006arXiv2102.10941OpenAlexW3132233400MaRDI QIDQ5087192

Andreas A. Buchheit, Torsten Keßler

Publication date: 8 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10941

zbMATH Keywords

long-range interactionspartial differential equationsquadratureEuler-Maclaurin expansionelliptic regularityanalytic number theorymultidimensional lattice sums

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Operations with distributions and generalized functions (46F10) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Functional analytic methods in summability (40H05) Euler-Maclaurin formula in numerical analysis (65B15)

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