**Georgy Voronoi** (1868--1908) is known as a scientist with exceptional
mathematical abilities, he published only 12 papers, but most of them have
a considerable influence both on mathematical investigations and numerous
applications, they served as a basis to several new directions of research
in

- analytical number theory,
- algebraic number theory,
- summation of divergent series.
- geometry of numbers.

Until now works by G.Voronoi have been recognized and employed by researchers
in many countries of the world: *England, USA, Canada, France, Spain,
Switzerland, Denmark, Netherlands, Finland, Germany, Russia, Poland, Czechia,
Austria, Lithuania, Japan, New Zealand, etc.*

Andrzej Schinzel (Poland) The Warsaw Period of Voronoi's Creative Work

Fragments from Voronoi's Diary

Marjorie Senechal (USA) From Summation Formulae to Lattices and Back Again

Ingrid Biehl, Johannes Buchmann (Germany) An Analysis of the Reduction Algorithms for Binary Quadratic Forms

Martin N. Huxley (England) The Influence of G.Voronoi on Analytic Number Theory

Antanas Laurincikas (Lithuania) On the Voronoi Summation Formulae

Matti Jutila (Finland) Atkinson's Formula Revisited

Mark McConnell (USA) Generalizations of Voronoi I to Symmetric Spaces and Arithmetic Groups

Jacques Martinet (France) Perfect and Eutactic Lattices: Extensions of Voronoi's Theory

Lilija G. Boitsun (Ukraine) Functional Voronoi Method

Vitaly A. Andrienko, A. A. Tatarkina (Ukraine) Voronoi Summation Method in the Summation Theory of Divergent Series

Noam D. Elkies (USA) The Still-Life Density Problem and its Generalizations

Jesper Moeller (Denmark) A Review on Probabilistic Models and Results for Voronoi Tessellations

Igor N. Kovalenko (Ukraine) An Extension of a Conjecture of D.G.Kendall Concerning Shapes of Large Random Polygons to Poisson Voronoi Cells

Peter Engel (Switzerland) New Investigations on Parallelohedra in R^d

Robert M. Erdahl (Canada) Zonotopes, and Voronoi's Conjecture on Parallelohedra

Michel Deza (France), Viatcheslav Grishukhin (Russia) Voronoi L-Decomposition of PSD_n and the Hypermetric Correlation Cone

Michel Deza (France), Mikhail Shtogrin (Russia) Embedding of Skeletons of Voronoi and Delaunay Partitions into Cubic Lattices

Olaf Delgado Friedrichs, Daniel H. Huson (Germany) A Combinatorial Theory of Tilings

Nikolai P. Dolbilin (Russia) Which Clusters Can Form a Crystal?

Oleg R. Musin (Russia) Construction of the Voronoi Diagram and Secondary Polytope

Sergei S. Ryshkov, Evgenii P. Baranovskii (Russia) The Repartitioning Complexes in n-dimensional Lattices (with Full Description for n\&less = 6)

Vasilii A. Ustimenko (Ukraine) Coordinatization of Regular Tree and its Quotients

Nikolai N. Medvedev (Russia) Computational Porosimetry

Kazuo Tsumuraya (Japan) Voronoi Polyhedron Analyses in Metal Liquids and Glasses

Witold M. Bartczak (Poland) Voronoi Polyhedron as a Geometrical Model of the Trapping Sites for an Excess Electron in Disordered Media

Witold M. Bartczak, Michal Zapalowski (Poland) Computer Simulations of Highly-Concentrated Aqueous Solutions of Ionic Salts. Voronoi-Polyhedra Analysis of the Ionic Configurations in Solutions

Narendra Ahuja, Ram Charan (USA) Curve Detection in 3D Dot Patterns Using Voronoi Neighbourhoods

Reinhard Klette, Shao-zheng Zhou (New Zealand) Multiresolution Surface Reconstruction on Network Models

The persons or institutions interested in the proposed collection of papers can order it by e-mail: syta@imath.kiev.ua

The price is: $50 (postage included).

*Last modified October 9, 1998*