A Poincaré series on hyperbolic space

DOI10.1016/j.aam.2017.10.004zbMath1410.32011arXiv1707.07790OpenAlexW2963929233MaRDI QIDQ1693350

Tathagata Basak

Publication date: 31 January 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07790

zbMATH Keywords

Poincaré serieshyperbolic reflection groupLeech lattice

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other groups and their modular and automorphic forms (several variables) (11F55) Automorphism groups of lattices (11H56) Automorphic functions in symmetric domains (32N15)

Cites Work

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• Geometric generators for braid-like groups
• Cubic surfaces and Borcherds products
• Automorphic forms with singularities on Grassmannians
• Kloosterman sums and Fourier coefficients of cusp forms
• A note on optimal unimodular lattices
• Compactifications defined by arrangements. I: The ball quotient case.
• The Leech lattice and complex hyperbolic reflections
• The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
• The Leech lattice

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