6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NT2004
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…
math.NT2003★ 1 cited
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…
math.NT2003★ 6 cited
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…