L-functions and arithmetic : [Symposium on 'L-functions and Arithmetic' which was held at the University of Durham from June 30 until July 11, 1989

This Volume Is An Outgrowth Of The Lms Durham Symposium On L-functions, Held In July 1989. The Symposium Consisted Of Several Short Courses, Aimed At Presenting Rigorous But Non-technical Expositions Of The Latest Research Areas, And A Number Of Individual Lectures On Specific Topics. The Contributors Are All Outstanding Figures In The Area Of Algebraic Number Theory And This Volume Will Be Of Lasting Value To Students And Researchers Working In The Area. Lectures On Automorphic L-functions / James Arthur And Stephen Gelbart -- Gauss Sums And Local Constants For Gl(n) / Colin J. Bushnell -- L-functions And Galois Modules / Ph. Cassou-noguès [and Others] -- Motivic P-adic L-functions / John Coates -- The Beilinson Conjectures / Christopher Deninger And Anthony J. Scholl -- Iwasawa Theory For Motives / Ralph Greenberg -- Kolyvagin's Work On Modular Elliptic Curves / Benedict H. Gross -- Index Theory, Potential Theory, And The Riemann Hypothesis / Shai Haran -- Katz P-adic L-functions, Congruence Modules And Deformation Of Galois Representations / H. Hida And J. Tilouine -- Kolyvagin's Work On Shafarevich-tate Groups / William G. Mccallum -- Arithmetic Of Diagonal Quartic Surfaces I / R.g.e. Pinch And H.p.f. Swinnerton-dyer -- On Certain Artin L-series / Dinakar Ramakrishnan -- The One-variable Main Conjecture For Elliptic Curves With Complex Multiplication / Karl Rubin -- Remarks On Special Values Of L-functions / Anthony J. Scholl. Edited By J. Coates And M.j. Taylor. Proceedings Of The Durham Symposium, July 1989--cover. Includes Bibliographical References.