Documenta Mathematica 2006; 827 pp; hardcover Number: 4 ISBN10: 3936609284 ISBN13: 9783936609288 List Price: US$118 Member Price: US$94.40 Order Code: DOCMATH/4
 This volume is dedicated to Professor John H. Coates, an outstanding contributor to number theory, both through his pioneering and fundamental mathematical works and through the magnificent mathematical school he has established. It contains 24 articles written by 38 authors on a wide range of topics in the cutting edge of research in number theory, algebraic geometry and analysis: zeta functions and \(L\)functions, automorphic and modularity issues, Galois representations, arithmetic of elliptic curves, Iwasawa theory, noncommutative Iwasawa theory, and \(p\)adic analysis. This volume will be of interest to researchers and students in these and neighboring fields. A publication of Documenta Mathematica. The AMS distributes this series, beginning with volume 3, in the United States, Canada, and Mexico. Readership Gradute students and research mathematicians interested in number theory. Table of Contents  K. Ardakov and K. Brown  Ringtheoretic properties of Iwasawa algebras: A survey
 G. Banaszak, W. Gajda, and P. Krason  On the image of ladic Galois representations for Abelian varieties of type I and II
 S. Böcherer and A. Panchishkin  Admissible \(p\)adic measures attached to triple products of elliptic cusp forms
 D. Burns and M. Flach  On the equivariant Tamagawa number conjecture for Tate motives, part II
 D. Burns and O. Venjakob  On the leading terms of Zeta isomorphisms and \(p\)adic \(L\)functions in noncommutative Iwasawa theory
 K. Buzzard and F. Calegari  The 2adic eigencurve is proper
 L. Clozel and E. Ullmo  Equidistribution Adélique des Tores et équidistribution des points CM
 R. Coleman and K. McMurdy  Fake CM and the stable model of \(X_0(Np^3)\)
 D. Delbourgo  Lambdaadic Euler characteristics of elliptic curves
 E. de Shalit  Coleman integration versus Schneider integration on semistable curves
 R. Greenberg  On the structure of certain Galois cohomology groups
 M. Harris, J.S. Li, and C. Skinner  \(p\)adic \(L\)functions for unitary Shimura varieties I: Construction of the Eisenstein measure
 H. Hida  Anticyclotomic main conjectures
 F. Jarvis  Optimal levels for modular mod 2 representations over totally real fields
 K. Kato  Universal norms of \(p\)units in some noncommutative Galois extensions
 S. Kobayashi  An elementary proof of the MazurTateTeitelbaum conjecture for elliptic curves
 B. Mazur, W. Stein, and J. Tate  Computation of \(p\)adic heights and log convergence
 R. Pollack and T. Weston  Kida's formula and congruences
 P. Schneider and J. Teitelbaum  BanachHecke algebras and \(p\)adic Galois representations
 A. Scholl  Higher fields of norms and \((\phi,\Gamma)\)modules
 J. Silverman  Divisibility sequences and powers of algebraic integers
 R. Taylor  On the meromorphic continuation of degree two \(L\)functions
 J. Tilouine  Siegel varieties and \(p\)adic Siegel modular forms
 J. Wintenberger  On \(p\)adic geometric representations of \(G_Q\)
