Class Groups of Number Fields and Related Topics

Edited by Kalyan Chakraborty (), Azizul Hoque () and Prem Prakash Pandey ()

in Springer Books from Springer

Date: 2020
ISBN: 978-981-15-1514-9
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Chapters in this book:

A Geometric Approach to Large Class Groups: A Survey

Jean Gillibert and Aaron Levin

On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields

Toru Komatsu

Thue Diophantine Equations

Michel Waldschmidt

A Lower Bound for the Class Number of Certain Real Quadratic Fields

Fuminori Kawamoto and Yasuhiro Kishi

A Survey of Certain Euclidean Number Fields

Kotyada Srinivas and Muthukrishnan Subramani

Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit

Anupam Saikia

The Charm of Units I, On the Kummer–Vandiver Conjecture. Extended Abstract

Preda Mihăilescu

Heights and Principal Ideals of Certain Cyclotomic Fields

René Schoof

Distribution of Residues Modulo p Using the Dirichlet’s Class Number Formula

Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar and R. Thangadurai

On Class Number Divisibility of Number Fields and Points on Elliptic Curves

Debopam Chakraborty

Small Fields with Large Class Groups

Florian Luca and Preda Mihăilescu

Cyclotomic Numbers and Jacobi Sums: A Survey

Md. Helal Ahmed and Jagmohan Tanti

A Pair of Quadratic Fields with Class Number Divisible by 3

Himashree Kalita and Helen K. Saikia

On Lebesgue–Ramanujan–Nagell Type Equations

Richa Sharma

Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields

Mohit Mishra

On the Continued Fraction Expansions of $$\sqrt{p}$$ and $$\sqrt{2p}$$ for Primes $$p\equiv 3\pmod 4$$

Stéphane R. Louboutin

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DOI: 10.1007/978-981-15-1514-9

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