Voronoi's formulae and the Gauss problem
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Publication:6582270
DOI10.4213/rm10162eMaRDI QIDQ6582270
Publication date: 2 August 2024
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Applications of the Hardy-Littlewood method (11P55) Lattice points in specified regions (11P21) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Cites Work
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- On the divisor and circle problems
- Large values of the error term in the divisor problem
- Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)
- 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.
- Vorlesungen über die Theorie der algebraischen Zahlen.
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- Moments over short intervals
- Distribution of the error term for the number of lattice points inside a shifted circle
- On the higher moments of the error term in the divisor problem
- Numerical investigation of the properties of remainder in Gauss's circle problem
- On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem
- Bounds and behaviour of the quantities $ P(x)$, $ \Delta(x)$ on short intervals
- Lectures on Fourier Integrals. (AM-42)
- Three-dimensional exponential sums with monomials
- On the mean square formula of the error term in the Dirichlet divisor problem
- On the method of exponent pairs
- Hilbert's Inequality
- Lattice points in a circle: An improved mean-square asymptotics
- Spectrum of the Laplace operator on closed surfaces
- The distribution and moments of the error term in the Dirichlet divisor problem
- Higher-Power Moments of δ(x ), E(t ) and P(x )
- Circle problem and the spectrum of the Laplace operator on closed 2-manifolds
- On higher-power moments of Δ(x) (III)
- The lattice points of a circle.
- On Dirichlet's divisor problem.
- On Jutila's integral in the circle problem
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