Opers for Higher States of the Quantum Boussinesq Model

We study the ODE/IM correspondence for all the states of the quantum Boussinesq model. We consider a particular class of third order linear ordinary differential operators and show that the generalised monodromy data of such operators provide solutions to

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Frank Nijhoff Yang Shi Da-jun Zhang   Editors

Asymptotic, Algebraic and Geometric Aspects of Integrable Systems In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018

Springer Proceedings in Mathematics & Statistics Volume 338

Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

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Frank Nijhoff Yang Shi Da-jun Zhang •



Editors

Asymptotic, Algebraic and Geometric Aspects of Integrable Systems In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018

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Editors Frank Nijhoff School of Mathematics University of Leeds Leeds, UK

Yang Shi College of Science and Engineering Flinders at Tonsley Adelaide, SA, Australia

Da-jun Zhang Department of Mathematics Shanghai University Shanghai, China

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-030-56999-0 ISBN 978-3-030-57000-2 (eBook) https://doi.org/10.1007/978-3-030-57000-2 Mathematics Subject Classification: 33xx, 39xx, 14xx, 32xx, 14H70, 37K10, 34M55 © Springer Nature Switzerland AG 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