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 …

Im Mittelpunkt des Buches steht die Behandlung von Funktionalgleichungen analytischer
Funktionen, die für die Anwendungen in der Zahlentheorie von Interesse sind. Ausgehend …

In many geometry processing applications, the estimation of differential geometric quantities
such as curvature or normal vector field is an essential step. In this paper, we investigate a …

We consider spectral projectors associated to the Euclidean Laplacian on the two-
dimensional torus, in the case where the spectral window is narrow. Bounds for their L2 to …

We present, in details, a generic tool to estimate differential geometric quantities on digital
shapes, which are subsets of ℤ d Z^ d. This tool, called digital integral invariant, simply …

Uniform Lp Resolvent Estimates on the Torus Page 1 Mr r Mathematics esearch eports r r
Jonathan Hickman Uniform Lp Resolvent Estimates on the Torus Volume 1 (2020), p. 31-45 …

We prove that a symmetric strictly convex set with a smooth boundary in ℝ d can possess no
more than finitely many orthogonal exponentials, unless d= 1 mod (4). In such case, the …

Lattice points in rational ellipsoids Page 1 J. Math. Anal. Appl. 350 (2009) 283–289 Contents
lists available at ScienceDirect Journal of Mathematical Analysis and Applications …

In this paper we investigate the Erdos/Falconer distance conjecture for a natural class of sets
statistically, though not necessarily arithmetically, similar to a lattice. We prove a good upper …

arXiv:math/0205127v1 [math.CA] 12 May 2002 Page 1 arXiv:math/0205127v1 [math.CA] 12
May 2002 MEAN SQUARE DISCREPANCY BOUNDS FOR THE NUMBER OF LATTICE …