Class Groups of Number Fields and Related Topics : ICCGNERT 2021 and 2022, Kozhikode, India, October 21–24, 2021 and November 21–24, 2022 / edited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey.

Format:

Book

Author/Creator:

Chakraborty, Kalyan.

Contributor:

Hoque, Azizul.

Pandey, Prem Prakash.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 470

Language:

English

Subjects (All):

Number theory.

Number Theory.

Local Subjects:

Number Theory.

Physical Description:

1 online resource (248 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

This book collects original research papers and survey articles presented at two conferences on the same theme: the International Conference on Class Groups of Number Fields and Related Topics, held at Kerala School of Mathematics, Kozhikode, Kerala, India, from 21–24 October 2021 and then from 21–24 November 2022. It presents the fundamental research problems that arise in the study of class groups of number fields and related areas. The book also covers some new techniques and tools to study these problems. Topics in this book include class groups of number fields, units, Ankeny–Artin–Chowla conjecture, Iwasawa theory, elliptic curves, Diophantine equations, partition functions, Diophantine tuples, congruent numbers, Carmichael ideals in a number field and their connection with class groups. This book will be a valuable resource for graduate students and researchers in mathematics interested in class groups of number fields and their connections to other branches of mathematics. It also attracts new researchers to the field and young researchers will benefit immensely from the diverse problems discussed in this book. All the contributing authors are leading academicians, scientists and profound researchers. This book is dedicated to Prof. Michel Waldschmidt, a renowned French number theorist, on his 75th birthday.

Contents:

N. Fellini, Fermat Quotients and the Ankeny-Artin-Chowla Conjecture

A. Togbe, Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples

Chan-Ho Kim and Sujatha, On the Mod p Iwasawa Theory for Elliptic Curves

K. Ono : The Partition Function Modulo

J. Chatterjee, A Collage of Results on the Divisibility and Indivisibility of Class Numbers of Quadratic Fields

A. Dujella, Triples, Quadruples And Quintuples Which are D(N)-Sets for Several N’s

S. Das and A. Saikia, Congruent Numbers and Class Groups of Associated Quadratic Fields.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9789819769117

9819769116

OCLC:

1481791847