activity
20032013
most citedLattice points in large regions and related arithmetic functions: Recent developments in a very classic topic

68 citations · 93 across the 11 of their papers we have counts for

collaborators

11 papers

math.NT2013★ 14 cited

On the average number of subgroups of the group

Werner Georg Nowak, László Tóth

Let be the group of residue classes modulo . Let and denote the total number of subgroups of the group and the number of its cyclic s…

math.NT2012

On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions

Manfred Kühleitner, Werner Georg Nowak

The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series which invo…

math.NT2010

The lattice discrepancy of certain three-dimensional bodies

E. Krätzel, W. G. Nowak

Based on a fairly precise approximation to the lattice discrepancy of a Lame disc, an asymptotic formula is established for the number of lattice points in a related three-dimensio…

math.NT2008

A lower bound for the error term in Weyl's law for certain Heisenberg manifolds, II

W. G. Nowak

This article is concerned with estimations from below for the remainder term in Weyl's law for the spectral counting function of certain rational (2l+1)-dimensional Heisenberg mani…

math.NT2008

A lower bound for the error term in Weyl's law for certain Heisenberg manifolds

W. G. Nowak

This article provides an Omega-result for the remainder term in Weyl's law for the spectral counting function of certain (2l+1)-dimensional Heisenberg manifolds.

math.NT2006★ 4 cited

A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary

W. G. Nowak

Let B denote a three-dimensional body of rotation, with respect to one coordinate axis, whose boundary is sufficiently smooth and of bounded nonzero Gaussian curvature throughout,…