Fractional part sums and lattice points

DOI10.1017/S0013091500019854zbMath0931.11039OpenAlexW2170383549MaRDI QIDQ4221498

Werner Georg Nowak

Publication date: 3 January 1999

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

Full work available at URL: https://doi.org/10.1017/s0013091500019854

zbMATH Keywords

lower boundasymptotic formulaBernoulli polynomialfractional part sumsGaussian circle problemmean-square estimateVaaler's inequality

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (3)

On an analogue of the Gauss circle problem for the Heisenberg group ⋮ Unnamed Item ⋮ The true order of magnitude of Lamé rounding error sums

Cites Work

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• On the divisor and circle problems
• New omega theorems for two classical lattice point problems
• On the average order of a class of arithmetical functions
• The number of lattice points on a convex curve
• On the mean value of the error term for a class of arithmetical functions
• Über die Zetafunktion konvexer Körper
• On the average order of the lattice rest of a convex planar domain
• Some extremal functions in Fourier analysis
• An Ω-estimate for the lattice rest of a convex planar domain
• Exponential Sums and Rounding Error
• Exponential Sums and Lattice Points II
• Mean value theorems for a class of Dirichlet series

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