Lectures on Number Theory
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of Functions at the Polytechnic Institute of Zurich. After his death in
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F.W. Gehring PR. Halmos C.C. Moore
Universitext Editors: F.W. Gehring, P.R. Halmos, C.C. Moore
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Lectures on Number Theory Presented by
Adolf Hurwitz Edited for Publication by
Nikolaos Kritikos
Translated, with some additional material, by William C. Schulz
Springer Verlag New York Berlin Heidelberg Tokyo
Nikolaos Kritikos
William Schulz (Translator)
Parnithos 48 154 52 Psychiko Athens Greece
Northern Arizona University Department of Mathematics Flagstaff, AZ 86011 U.S.A.
AMS Classifications: 10-01, IOA05, IOAI5, IOA32, IOC99
Library of Congress Cataloging in Publication Data Hurwitz, Adolf Lectures on number theory. (Universitext) Translated from the German. Bibliography: p. Includes index. I. Numbers, Theory of. I. Kritikos, Nikolaos, 1894. II. Title. QA24l.H85 1986 512.77 85-25093 © 1986 by Springer-Verlag New York Inc . Softcoverreprint the hardcover 1st edition 1986
of
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9 8 7 6 54 3 2 1 ISBN-13: 978-0-387-96236-8 DOl: 10.107/978-1-4612-4888-0
e-ISBN-13:978-1-4612-4888-0
Preface
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of Functions at the Polytechnic Institute of Zurich.
After his death in 1919 there fell into my hands a set of notes on
the Theory of numbers, which he had deli
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