Contemporary Mathematics 2004; 221 pp; softcover Volume: 358 ISBN10: 0821834800 ISBN13: 9780821834800 List Price: US$80 Member Price: US$64 Order Code: CONM/358
 Stark's conjectures on the behavior of \(L\)functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the stateoftheart research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as nonabelian and \(p\)adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur. The book is suitable for graduate students and researchers interested in number theory. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  C. D. Popescu  Rubin's integral refinement of the abelian Stark conjecture
 D. S. Dummit  Computations related to Stark's conjecture
 C. Greither  Arithmetic annihilators and Starktype conjectures
 M. Flach  The equivariant Tamagawa number conjecture: A survey
 J. W. Sands  Popescu's conjecture in multiquadratic extensions
 D. Solomon  Abelian conjectures of Stark type in \(\mathbb{Z}_p\)extensions of totally real fields
 H. M. Stark  The derivative of padic Dirichlet series at s=0
 J. Tate  Refining Gross's conjecture on the values of abelian \(L\)functions
 D. R. Hayes  Stickleberger functions for nonabelian Galois extensions of global fields
 B. Mazur and K. Rubin  Introduction to Kolyvagin systems
