Generalised lattice point theory in hyperspace and the redetermination of the N-dimensional spherical volume

1962 ◽  
Vol 2 (6) ◽  
pp. 274
Author(s):  
L. Gold
Keyword(s):  
Lattice Point ◽  
Point Theory ◽  
Spherical Volume

scholarly journals Lattice point theory in polyhedra

1977 ◽  
Vol 9 (4) ◽  
pp. 426-435 ◽  
Author(s):  
Bohuslav Diviš
Keyword(s):  
Lattice Point ◽  
Point Theory

Mean value estimates in lattice point theory

1977 ◽  
Vol 84 (1) ◽  
pp. 21-28 ◽  
Author(s):  
Bohuslav Diviš
Keyword(s):  
Lattice Point ◽  
Point Theory ◽  
Mean Value

On lattice points in the domain |xy | ≤1, | x + y | ≤√5, and applications to asymptotic formulae in lattice point theory (II)

1944 ◽  
Vol 40 (2) ◽  
pp. 116-120 ◽  
Author(s):  
K. Mahler
Keyword(s):  
Lattice Point ◽  
Point Theory ◽  
Lattice Points ◽  
Linear Substitution ◽  
Asymptotic Formulae ◽  
Image Position ◽  
Similar Domain

I. Lattice points in the domain | x |α + | y |α ≤ 1Theorem 4. Let G be the star domainwhere α > 0. Then, when α tends to zero,Proof. The linear substitutionchanges G into the similar domainand so.

On lattice points in the domain |xy| ≤1, | x+y| ≤ √5, and applications to asymptotic formulae in lattice point theory (I)

1944 ◽  
Vol 40 (2) ◽  
pp. 107-116 ◽  
Author(s):  
K. Mahler
Keyword(s):  
Lattice Point ◽  
London Mathematical Society ◽  
Point Theory ◽  
Lattice Points ◽  
Mathematical Society ◽  
Asymptotic Formulae

Preface. In order to make this paper intelligible to the reader, I repeat the following definitions and results from my paper ‘On lattice points in star domains’, which is to appear in the Proceedings of the London Mathematical Society.

scholarly journals On the lattice point theory of multidimensional ellipsoids

1974 ◽  
Vol 25 (2) ◽  
pp. 199-212 ◽  
Author(s):  
B. Diviš ◽  
B. Novák
Keyword(s):  
Lattice Point ◽  
Point Theory

scholarly journals Ω-estimates in lattice point theory

1979 ◽  
Vol 35 (3) ◽  
pp. 247-258
Author(s):  
Bohuslav Diviš
Keyword(s):  
Lattice Point ◽  
Point Theory
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