文档介绍：Advanced Courses in Mathematics
CRM Barcelona
Centre de Recerca Matemàtica
Managing Editor:
Manuel Castellet
Alfred Geroldinger
Imre Z. Ruzsa
Combinatorial
Number Theory and
Additive Group Theory
Birkhäuser
Basel · Boston · Berlin
Authors:
Alfred Geroldinger Imre Z. Ruzsa
Institute for Mathematics and Alfréd Rényi Institute of Mathematics
puting P. O. Box 127
University of Graz 1364 Budapest, Hungary
Heinrichstrasse 36 e-mail: ******@
8010 Graz, Austria
e-mail: alfred.******@uni-
2000 Mathematical Subject Classification 11P70, 11B50, 11R27
Library of Congress Control Number: 2008941509
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ISBN 978-3-7643-8961-1 Birkhäuser Verlag AG, Basel – Boston – Berlin
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Printed on acid-free paper produced from chlorine-free pulp. TCF ∞
Printed in Germany
ISBN 978-3-7643-8961-1 e-ISBN 978-3-7643-8962-8
9 8 7 6 5 4 3 2 1
Foreword
This book collects the material delivered in the 2008 edition of the ourse in
Combinatorics and Geometry which was devoted to the topic of bi-
natorics.
The two first parts, which form the bulk of the volume, contain the two
main advanced courses, Additive Group Theory and Non-unique Factorizations,
by Alfred Geroldinger, and Sumsets and Structure,.
The first part focusses on the interplay between zero-sum