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L-functions of arithmetic

By: Contributor(s): Material type: TextTextLanguage: English Series: London mathematical society lecture note series ; 153Publication details: Cambridge Cambridge University Press 1991Description: viii, 392pISBN:
  • 0521386195 (PB)
Subject(s):
Contents:
1. Lectures on Automorphic L-functions Authors: James Arthur and Stephen Gelbart 2. Gauss Sums and Local Constants for GL(N) Author: Colin J. Bushnell 3. L-functions and Galois Modules Authors: Ph. Cassou-Noguès et al. 4. Motivic p-adic L-functions Author: John Coates 5. The Beilinson Conjectures Authors: Christopher Deninger and Anthony J. Scholl 6. Iwasawa Theory for Motives Author: Ralph Greenberg 7. Kolyvagin's Work on Modular Elliptic Curves Author: Benedict H. Gross 8. Index Theory, Potential Theory, and the Riemann Hypothesis Author: Shai Haran 9. Katz p-adic L-functions, Congruence Modules, and Deformation of Galois Representations Authors: H. Hida and J. Tilouine 10. Kolyvagin's Work on Shafarevich-Tate Groups Author: William G. McCallum 11. Arithmetic of Diagonal Quartic Surfaces I Authors: R.G.E. Pinch and H.P.F. Swinnerton-Dyer 12. On Certain Artin L-series Author: Dinakar Ramakrishnan 13. The One-variable Main Conjecture for Elliptic Curves with Complex Multiplication Author: Karl Rubin 14. Remarks on Special Values of L-functions Author: Anthony J. Scholl
Summary: 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.
Item type: BOOKS
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IMSc Library IMSc Library 511.331 COA (Browse shelf(Opens below)) Available 26820

proceedings of the Durham symposium, July 1989

Includes bibliographical references

1. Lectures on Automorphic L-functions
Authors: James Arthur and Stephen Gelbart
2. Gauss Sums and Local Constants for GL(N)
Author: Colin J. Bushnell
3. L-functions and Galois Modules
Authors: Ph. Cassou-Noguès et al.
4. Motivic p-adic L-functions
Author: John Coates
5. The Beilinson Conjectures
Authors: Christopher Deninger and Anthony J. Scholl
6. Iwasawa Theory for Motives
Author: Ralph Greenberg
7. Kolyvagin's Work on Modular Elliptic Curves
Author: Benedict H. Gross
8. Index Theory, Potential Theory, and the Riemann Hypothesis
Author: Shai Haran
9. Katz p-adic L-functions, Congruence Modules, and Deformation of Galois Representations
Authors: H. Hida and J. Tilouine
10. Kolyvagin's Work on Shafarevich-Tate Groups
Author: William G. McCallum
11. Arithmetic of Diagonal Quartic Surfaces I
Authors: R.G.E. Pinch and H.P.F. Swinnerton-Dyer
12. On Certain Artin L-series
Author: Dinakar Ramakrishnan
13. The One-variable Main Conjecture for Elliptic Curves with Complex Multiplication
Author: Karl Rubin
14. Remarks on Special Values of L-functions
Author: Anthony J. Scholl

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.

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