Class Groups of Number Fields and Related Topics
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 discuss
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Class Groups of Number Fields and Related Topics
Class Groups of Number Fields and Related Topics
Kalyan Chakraborty Azizul Hoque Prem Prakash Pandey •
•
Editors
Class Groups of Number Fields and Related Topics
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Editors Kalyan Chakraborty School of Mathematics Harish-Chandra Research Institute Allahabad, Uttar Pradesh, India
Azizul Hoque School of Mathematics Harish-Chandra Research Institute Allahabad, Uttar Pradesh, India
Prem Prakash Pandey Department of Mathematics IISER Berhampur Berhampur, Odisha, India
ISBN 978-981-15-1513-2 ISBN 978-981-15-1514-9 https://doi.org/10.1007/978-981-15-1514-9
(eBook)
Mathematics Subject Classification (2010): 11Rxx, 11Sxx, 13C20 © Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
To all concerned, who were responsible for the successful completion of ICCGNFRT-2017
Preface
The number theory seminar has been organized, from January 20, 2017, by Algebraic/Algorithmic/Analytic Number Theory Seminar (ANTS) at HarishChandra Research Institute, Allahabad, India. This lecture series was started by Kalyan Chakraborty, Azizul Hoque and other members of the group. Prior to the existence of this group, we had decided to hold a series of three conferences on the theme ‘Class Groups of Number Fields and Related Topics.’ By October 2019, we had organized these three conferences. However, seeing its success and also on the request of all concerned, we have decided to continue this yearly conference. The first ‘International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT)’ was held during September 4–7, 2017, at Harish-Chandra Research Institute, Allahabad, India. T
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