Preface
These are the proceedings of an
international conference on Analytic and Elementary Number Theory which took
place from July 18 through 20, 1996,
at the
Mathematics Departments of the Universität für Bodenkultur and the
Universität Wien, as an official
Satellite Conference of the European Congress on
Mathematics in Budapest. The meeting was dedicated to the honour of the
80th birthday of Professor Edmund Hlawka, which he celebrated on
November 5, 1996.
This volume includes the congratulation address of Wolfgang Schwarz
(Frankfurt) "On the number
theoretic work of Edmund Hlawka" as well as invited articles of
the following plenary speakers:
Peter Bundschuh (Köln), Martin Huxley (Cardiff),
Ekkehard Krätzel (Vienna), Wladislaw Narkiewicz (Wroclaw)
[jointly written with Franz Halter-Koch (Graz)], and
Wolfgang Schmidt (Boulder).
Furthermore, several well-selected and thoroughly refereed contributed papers
of some of the altogether about 80 participants of the conference have been
included.
The contents cover a large variety of themes from contemporary
Analytic and Elementary Number Theory.
W.G. Nowak (Universität für Bodenkultur),
J. Schoißengeier (Universität Wien)
Table of contents
W. Schwarz,
On the number-theoretic work of Edmund Hlawka
P. Bundschuh,
Schneider's transcendence method by elementary means
A. Escassut, B. Diarra, and M.-C. Sarmant,
P-adic group duality:
On the restricted power series
G. Grekos, Contraction of integer sequences
A. Guthmann,
The Riemann-Siegel Integral Formula for Dirichlet Series Associated to
Cusp Forms
F. Halter-Koch and W. Narkiewicz,
Polynomial cycles and dynamical units
M. Hirabayashi,
A relative class number formula for an imaginary Abelian field by means
of Demjanenko matrix
M. N. Huxley,
The shear difficulty in lattice point problems
A. Ivic,
On the Mellin transform and the Riemann zeta-function
J. Kaczorowski,
On the local changes of sign of the remainder term in the prime number
formula
I. Korec,
Definability of addition from multiplication and neighbourhood relation
and some related results
E. Krätzel,
Lattice points in large convex bodies: Analytic foundations
G. Kuba,
The two parameter ellipse problem II
M. Kühleitner,
An Omega theorem on the summatory function of (-1)nd(n)
H. Menzer,
On the number of subgroups of finite Abelian groups
W. Müller,
Lattice points in convex planar domains: power moments with an application
to primitive lattice points
V. Schmagin and Y. Chebrakov,
Different types of formulae for the analytical description of magic
squares constructing methods
W. M. Schmidt,
The distribution of sublattices of Zm
F. Schweiger,
The Exponent of Convergence for the 2-dimensional Jacobi-Perron
algorithm
O. Strauch,
On the set of distribution functions of a sequence
G. J. Wirsching,
(3n+1)-Predecessor Densities and Uniform Distribution in
Z3*
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W.G. Nowak, Institut für Mathematik & Ang.Stat. 1997-03-21