Counting and equidistribution in Heisenberg groups

DOI10.1007/s00208-015-1350-5zbMath1360.11067arXiv1402.7225OpenAlexW2950825613WikidataQ109744190 ScholiaQ109744190MaRDI QIDQ514341

Frédéric Paulin, Jouni Parkkonen

Publication date: 1 March 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7225

zbMATH Keywords

equidistributionhyperbolic spaceHermitian formHeisenberg groupsMertens formula

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Bilinear and Hermitian forms (11E39)

Related Items

Counting and equidistribution in quaternionic Heisenberg groups ⋮ Counting common perpendicular arcs in negative curvature ⋮ The lattice point counting problem on the Heisenberg groups ⋮ A classification of \(\mathbb{R}\)-Fuchsian subgroups of Picard modular groups ⋮ Rigidity, counting and equidistribution of quaternionic Cartan chains ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ On the hyperbolic orbital counting problem in conjugacy classes

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