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Class Groups of Number Fields and Related TopicsICCGNERT 2021 and 2022, Kozhikode, India, October 21-24, 2021 and November 21-24, 2022 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Class Groups of Number Fields and Related Topicsedited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey.
Reminder of title:	ICCGNERT 2021 and 2022, Kozhikode, India, October 21-24, 2021 and November 21-24, 2022 /
remainder title:	ICCGNERT 2021
other author:	Chakraborty, Kalyan.
Published:	Singapore :Springer Nature Singapore :2024.
Description:	viii, 246 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Class groups (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-97-6911-7
ISBN:	9789819769117$q(electronic bk.)

Class Groups of Number Fields and Related TopicsICCGNERT 2021 and 2022, Kozhikode, India, October 21-24, 2021 and November 21-24, 2022 /
Class Groups of Number Fields and Related TopicsICCGNERT 2021 and 2022, Kozhikode, India, October 21-24, 2021 and November 21-24, 2022 /[electronic resource] :ICCGNERT 2021edited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey. - Singapore :Springer Nature Singapore :2024. - viii, 246 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 4702194-1017 ;. - Springer proceedings in mathematics & statistics ;v.19..

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.

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.

ISBN: 9789819769117$q(electronic bk.)

Standard No.: 10.1007/978-981-97-6911-7doiSubjects--Topical Terms:

848378
Class groups (Mathematics)

LC Class. No.: QA247 / .C53 2024

Dewey Class. No.: 512.74

Class Groups of Number Fields and Related TopicsICCGNERT 2021 and 2022, Kozhikode, India, October 21-24, 2021 and November 21-24, 2022 /
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520 $a 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.
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