Cyclotomic Field

Cyclotomic Fields and Related Topics

Proceedings of the Summer school on Cyclotomic Fields, June, 1999.

Editors :

S. D. Adhikari, H. R. I. (M.R.I.), Allhabad, India
S. A. Katre, Mathematics Dept., Pune University, Pune, India.
Dinesh Thakur, University of Arizona , U.S.A.

Index of the Stickelberger Ideal and a Reflection Theorem: R. Sujatha
An Introduction to L-functions: Ravi Raghunathan

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Introduction: Dinesh S. Thakur

Abelian Kummer Theory: M. J. Narlikar

Introduction to Number Fields: B.Sury

Quadratic and Cyclotomic fields: Dinesh S. Thakur

Absolute Values and Completions: B.Sury

The Early Reciprocity Laws: From Gauss to Eisenstein: Sukumar Das Adhikari

Gauss-Jacobi Sums and Stickelberger's Theorem: S. A. Katre

On the theorem Hasse-Minkowski: R. Sridharan

The Kronecker-Weber Theorem: Eknath Ghate

Kronecker-Weber via Ramification Theory: Sharad V. Kanetkar

Stickelberger Revisited: C. S. Yogananda

Fermat's last theorem for regular primes: Dinesh S. Thakur

Reciprocity Laws: Parvati Shastri

Main Conjecture of Iwasawa Theory: C. S. Rajan

A Brief Introduction to Modular Form: B. Ramakrishnan

Elliptic curves, Serre's Conjecture and Fermat's Last Theorem: Kirti Joshi

Notes on Ribet's Converse to Herbrand: Chandrashekhar Khare

Vandiver's Conjecture via K-theory: Eknath Ghate

A `universal' Torsor for a Finite Group: Nitin Nitsure

On the Coefficients of Cyclotomic Polynomials: R. Thangadurai

Overview and Interconnections: Dinesh S. Thakur