Voronoi's formulae and the Gauss problem (Q6582270)

scientific article; zbMATH DE number 7891392

Language	Label	Description	Also known as
English	Voronoi's formulae and the Gauss problem	scientific article; zbMATH DE number 7891392

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instance of

scholarly article

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title

Voronoi's formulae and the Gauss problem (English)

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author

Dmitri A. Popov

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published in

Russian Mathematical Surveys

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publication date

2 August 2024

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zbMATH Keywords

circle problem

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Voronoi's formula

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long and short intervals

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MaRDI profile type

Publication

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cites work

Vorlesungen über Zahlentheorie. I: Aus der elementaren und additiven Zahlentheorie. II: Aus der analytischen und geometrischen Zahlentheorie. III: Aus der algebraischen Zahlentheorie und über die Fermatsche Vermutung.

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On the method of exponent pairs

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On the divisor and circle problems

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Sur le développement, à l'aide des fonctions cylindriques, des sommes doubles $\sum f(pm^2 +2qmn +rn^2)$, où $pm^2+2q mn +rn^2$ est une forme positive à coefficients entiers.

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Spectrum of the Laplace operator on closed surfaces

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The lattice points of a circle.

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

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On the mean square formula of the error term in the Dirichlet divisor problem

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Hilbert's Inequality

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Higher-Power Moments of δ(x ), E(t ) and P(x )

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On higher-power moments of Δ(x) (III)

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Large values of the error term in the divisor problem

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The distribution and moments of the error term in the Dirichlet divisor problem

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On Dirichlet's divisor problem.

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The average order of the arithmetical functions $P(x)$ and $\Delta(x)$.

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Q3281152

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Q4435770

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Sign changes of $E(T)$, $\Delta(x)$, and $P(x)$

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Q3260833

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Moments over short intervals

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Distribution of the error term for the number of lattice points inside a shifted circle

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On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem

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Bounds and behaviour of the quantities $ P(x)$, $ \Delta(x)$ on short intervals

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On the higher moments of the error term in the divisor problem

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Q3671563

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Three-dimensional exponential sums with monomials

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Q3320477

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On the Dirichlet divisor problem in short intervals

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On Jutila's integral in the circle problem

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On the divisor function and the Riemann zeta-function in short intervals

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Numerical investigation of the properties of remainder in Gauss's circle problem

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6582270