CBMS Conferenc e o n Eule r Product s and Eisenstei n Serie s held a t Texa s Christia n Universit y May 19-24 , 199 6 Research partiall y supporte d b y th e National Scienc e Foundatio n 1991 Mathematics Subject Classification. Primar y llFxx , llExx , 20Gxx . Library o f Congres s Cataloging-in-Publicatio n Dat a Shimura, Goro , 1930 - Euler product s an d Eisenstei n serie s / Gor o Shimura . p. cm . (Conferenc e Boar d o f th e Mathematica l Science s regiona l conferenc e serie s i n mathematics, ISS N 0160-764 2 no. 93 ) Includes bibliographica l reference s an d index . ISBN 0-8218-0574- 6 1. Eule r products . 2 . Eisenstei n series . I . Title . II . Series : Regiona l conferenc e serie s i n mathematics no. 93 . QA1.R33 no . 9 3 [QA243] 510 s—dc21 [515/.243] 97-812 9 CIP 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 this 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-permission@ams.org . © 199 7 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 . Visit th e AM S hom e pag e a t URL : http://www.ams.org/ . 10 9 8 7 6 5 4 3 2 1 0 2 0 1 0 0 9 9 9 8 9 7
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