68 citations · 74 across the 3 of their papers we have counts for
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math.NT2004★ 68 cited
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…
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★ 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…