by Dr. Radut

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