Additive Number Theory Festschrift In Honor of the Sixtieth Birt
This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathanson's numerous results have been widely published in top notch journals and in a number
- PDF / 3,753,245 Bytes
- 361 Pages / 439 x 666 pts Page_size
- 9 Downloads / 181 Views
David Chudnovsky
Gregory Chudnovsky
Editors
Additive Number Theory Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson
ABC
Editors David Chudnovsky Polytechnic Institute of NYU IMAS 6 MetroTech Center Brooklyn, NY 11201, USA [email protected]
Gregory Chudnovsky Polytechnic Institute of NYU IMAS 6 MetroTech Center Brooklyn, NY 11201, USA [email protected]
ISBN 978-0-387-37029-3 e-ISBN 978-0-387-68361-4 DOI 10.1007/978-0-387-68361-4 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010929948 Mathematics Subject Classification (2010): 11P32, 11P70, 11P82, 11P99, 11B13, 11B25, 11B30, 11B83, 11K38 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
This Festschrift is dedicated to Melvyn B. Nathanson by his colleagues, friends, and students. This volume celebrates his many contributions to various areas of number theory. Mel’s outstanding career as a mathematician and a public figure resulted in many achievements both in science and in the public arena. It is appropriate to quote here the tribute of the great I.M. Gelfand to Mel: I remember Melvyn as a young man attending my seminar in Moscow. He participated in my Rutgers seminar as well and taught us a lot of number theory. I enjoy his love of mathematics and the way he thinks about it. I wish him all the best and expect new wonderful results from him. We thank Jean Bourgain, M.-C. Chang, Javier Cilleruelo, Shalom Eliahou, Christian Elsholtz, Ron Graham, Ben Green, Yahya O. Hamidoune, Peter Hegarty, Alex Iosevich, Sergei V. Konyagin, D. Labrousse, C´edric Lecouvey, Vsevolod F. Lev, M´at´e Matolcsi, Steven J. Miller, Tom Morgan, Marina Nechayeva, Lan Nguyen, Kevin O’Bryant, J.L. Ram´ırez Alfons´ın, Burton Randol, Øystein J. Rødseth, Svetlana Roudenko, Imre Z. Ruzsa, Ilda da Silva, Jonathan Sondow, Daniel Scheinerman, Oriol Serra, Zhi-Wei Sun, Julia Wolf, and Michael E. Zieve for their contributions to this volume. David Chudnovsky Gregory Chudnovsky Editors
v
Photo by Alex Nathanson
Contents
Addictive Number Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . Melvyn B. Nathanson
1
Sum-Product Theorems and Applicat
Data Loading...
