Class Groups of Number Fields and Related Topics [electronic resource] edited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey.

This book gathers original research papers and survey articles presented at the “International Conference on Class Groups of Number Fields and Related Topics,” held at Harish-Chandra Research Institute, Allahabad, India, on September 4–7, 2017. It discusses the fundamental research problems that ari...

Full description

Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Chakraborty, Kalyan (Editor) Hoque, Azizul (Editor) Pandey, Prem Prakash (Editor)
Language:	English
Published:	Singapore : Springer Nature Singapore : Imprint: Springer, 2020.
Edition:	1st ed. 2020.
Subjects:	Number theory. Group theory. Differential equations. Algebraic fields. Polynomials.
Online Access:	Springer Mathematics and Statistics eBooks 2020 English/International: 2020 (Springer Link)
Format:	Electronic eBook

Contents:

1. A Geometric Approach to Large Class Groups: A Survey
2. On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields
3. Thue Diophantine Equations: A Survey
4. A Lower Bound for the Class Number of Certain Real Quadratic Fields
5. A Survey of Certain Euclidean Number Fields
Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit
6. Heights and Principal Ideals of Certain Cyclotomic Fields
7. Distribution of Residues Modulo p using the Dirichlet's Class Number Formula
8. On the Class Number Divisibility of Number Fields and Points on Elliptic Curves
9. Small Fields with Large Class Numbers
10. On the Kummer–Vandiver Conjecture: An Extended Abstract
11. Cyclotomic Numbers and Jacobi Sums: A Survey
12. On Lebesgue–Ramanujan–Nagell Type Equations
13. Partial Zeta Values and Class Numbers of R-D Type Real Quadratic Fields
14. A Pair of Quadratic Fields with Class Number Divisible by 3.