The asymptotic behaviour of the mean-square of fractional part sums

DOI10.1017/S0013091500020940zbMath0948.11038OpenAlexW2093695671MaRDI QIDQ4488183

Werner Georg Nowak, Manfred Kühleitner

Publication date: 9 July 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020940

zbMATH Keywords

exponential sumslattice pointsfractional parts

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (7)

On the mean value of a kind of zeta functions ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problem. I ⋮ On a conjecture of Chowla and Walum ⋮ On the distribution of powers of Gaussian integers ⋮ The lattice discrepancy of certain three-dimensional bodies ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problems. II ⋮ On the error term in Weyl's law for the Heisenberg manifolds. II

Cites Work

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• On the divisor and circle problems
• On differences of two \(k\)th powers: An asymptotic formula for the mean-square of the error term
• The number of lattice points on a convex curve
• Some extremal functions in Fourier analysis
• Exponential Sums and Rounding Error
• Exponential Sums and Lattice Points II

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