On an analogue of the Gauss circle problem for the Heisenberg group

DOI10.2422/2036-2145.202006_011zbMath1505.11130arXiv1912.06263OpenAlexW3142967291WikidataQ114041596 ScholiaQ114041596MaRDI QIDQ5090313

Yoav A. Gath

Publication date: 18 July 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06263

zbMATH Keywords

Heisenberg groupsGauss circle problem

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Lattice points in specified regions (11P21) Trigonometric and exponential sums (general theory) (11L03)

Related Items

Lattice points close to the Heisenberg spheres

Cites Work

• The Heisenberg group associated to a Hilbert space
• Geometric properties of Heisenberg-type groups
• On the divisor and circle problems
• New omega theorems for two classical lattice point problems
• La conjecture de Weil. I
• On the mean square formula of the error term in the Dirichlet divisor problem
• On the method of exponent pairs
• Some extremal functions in Fourier analysis
• Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups
• Wiener's test for the Brownian motion on the Heisenberg group
• Fractional part sums and lattice points
• Exponential Sums and Lattice Points III
• Hilbert's Inequality
• Lattice points in a circle: An improved mean-square asymptotics
• A theorem on the approximation of a trigonometric sum by a shorter one
• Über Gitterpunkte in mehrdimensionalen Kugeln II
• The lattice point counting problem on the Heisenberg groups
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