Lattice points in a circle: An improved mean-square asymptotics

DOI10.4064/aa113-3-4zbMath1092.11039OpenAlexW1964039730MaRDI QIDQ4811253

Werner Georg Nowak

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/113-3-4.html

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Lattice points in specified regions (11P21) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (7)

The Laplace transform of the second moment in the Gauss circle problem ⋮ On an analogue of the Gauss circle problem for the Heisenberg group ⋮ On integrals and Dirichlet series obtained from the error term in the circle problem ⋮ An explicit estimate for the lattice point discrepancy of ellipsoids of rotation ⋮ On the mean square formula of the error term in the Dirichlet divisor problem ⋮ Circle problem and the spectrum of the Laplace operator on closed 2-manifolds ⋮ The mean square discrepancy in the circle problem

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