Expository Lecture s from th e NSF-CBM S Regiona l Conferenc e held a t Kansa s Stat e University , Manhattan , Kansa s May 22-25 , 199 0 Research partiall y supporte d b y National Scienc e Foundatio n Gran t DM S 891291 7 1991 Mathematics Subject Classification. Primar y 11-02 , 42-02 Secondary 11K06 , 11K38 , 11K70 , 11L03 , 11L07 , 11L15 , 11M20 , 11M26 , 11N05 , 11N25 , 11N30, 11N69 , 11R06 , 41A30 , 42A05 , 42A10 . Library o f Congres s Cataloging-in-Publicatio n D a t a Montgomery, Hug h L . (Hug h Lowell) , 1944 - Ten lecture s o n th e interfac e betwee n analyti c numbe r theor y an d harmoni c analysis/Hug h L . Montgomery. p. cm . (Regiona l conferenc e serie s i n mathematics , ISS N 0160-7642 no . 84 ) "Expository lecture s fro m th e NSF-CBM S regiona l conference hel d a t Kansa s Stat e University , Manhattan, Ma y 22-25 , 1990"—T.p . verso . Includes bibliographica l references . ISBN 0-8218-0737- 4 1. Numbe r theory—Congresses . 2 . Harmonic analysis—Congresses . I . Title . II . Series . QA1.R33 no . 8 4 [QA241] 510 s—dc20 94-2686 4 [5i2'73] C I P Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s actin g for them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n thi s publicatio n (including abstracts ) i s permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Requests fo r suc h permissio n shoul d b e addresse d t o th e Assistan t t o th e Publisher , America n Mathematical Society , P.O . Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o be mad e b y e-mai l t o reprint-permissionQams.org . © Copyrigh t 199 4 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . © Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . t9 Printed o n recycle d paper . This volum e wa s printe d directl y fro m cop y prepare d b y th e autho r usin g A^yfS-T^i, the America n Mathematica l Society' s T^j X macr o system . 10 9 8 7 6 5 4 3 2 9 9 9 8 9 7 9 6
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