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On the average order of the lattice rest of a convex body

100%

Müller W.

Acta Arithmetica

1997

tom 80

nr 1

89-100

On differences of two squares

51%

Kühleitner M., Nowak W.

Open Mathematics

2006

tom 4

nr 1

110-122

The arithmetic function ρ(n) counts the number of ways to write a positive integer n as a difference of two squares. Its average size is described by the Dirichlet summatory function Σn≤x ρ(n), and in particular by the error term R(x) in the corresponding asymptotics. This article provides a sharp lower bound as well as two mean-square results for R(x), which illustrates the close connection between ρ(n) and the number-of-divisors function d(n).

On the lattice point problem for ellipsoids

51%

Bentkus V., Götze F.

Acta Arithmetica

1997

tom 80

nr 2

101-125

Ograniczanie wyników

2 Acta Arithmetica

1 Open Mathematics

1 Bentkus V.

1 Götze F.

1 Kühleitner M.

1 Müller W.

1 Nowak W.

1 2006

2 1997

Wyniki wyszukiwania

On the average order of the lattice rest of a convex body

On differences of two squares

On the lattice point problem for ellipsoids