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The moments of the number of points of a lattice in a bounded set

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Publication:5850610
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DOI10.1098/rsta.1955.0015zbMath0066.03603OpenAlexW2023160278MaRDI QIDQ5850610

C. A. Rogers

Publication date: 1955

Published in: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1955.0015


zbMATH Keywords

number theory


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)


Related Items (7)

On the distribution of lengths of short vectors in a random lattice ⋮ On the distribution of angles between increasingly many short lattice vectors ⋮ Adelic Rogers integral formula ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ On the Poisson distribution of lengths of lattice vectors in a random lattice ⋮ Volumes for \(\text{SL}_N(\mathbb{R})\), the Selberg integral and random lattices ⋮ On the value distribution and moments of the Epstein zeta function to the right of the critical strip




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