68 citations · 75 across the 5 of their papers we have counts for
5 papers
Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic
A. Ivic, E. Krätzel, M. Kühleitner +1
This is a survey article on the theory of lattice points in large planar domains and bodies of dimensions 3 and higher, with an emphasis on recent developments and new methods, inc…
On the distribution of M-tuples of B-numbers
W. G. Nowak
In the classical sense, the set B consists of all integers which can be written as a sum of two perfect squares. In other words, these are the values attained by norms of integral…
The lattice point discrepancy of a body of revolution: Improving the lower bound by Soundararajan's method
Manfred Kühleitner, Werner Georg Nowak
For a convex body B in three-dimensional Euclidean space, which is invariant under rotations around one coordinate axis and has a smooth boundary of bounded nonzero curvature, the…
Primitive lattice points inside an ellipse
Werner Georg Nowak
Let Q(u,v) be a positive definite binary quadratic form with arbitrary real coefficients. For large real x, one may ask for the number B(x) of primitive lattice points (integer poi…
The average number of solutions of the Diophantine equation U^2 + V^2 = W^3 and related arithmetic functions
Manfred K"\uhleitner, Werner Georg Nowak
This paper provides asymptotics with a sharp error term for the Dirichlet summatory function of a certain class of arithmetic functions. The result applies, e.g., to the sums over…