The lattice point counting problem on the Heisenberg groups

DOI10.5802/aif.2986zbMath1358.52017arXiv1404.6089OpenAlexW2963043554MaRDI QIDQ5962668

Amos Nevo, Rahul Garg, Krystal Taylor

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6089

zbMATH Keywords

Heisenberg groupCygan-Korányi normHeisenberg-homogeneous normlattice point countingPoisson summation formula

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40) Harmonic analysis in several variables (42B99) Lattice points in specified regions (11P21) Analysis on other specific Lie groups (43A80) Inequalities involving derivatives and differential and integral operators (26D10)

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