Analytic Number Theory, Modular Forms and q-Hypergeometric Series In

Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics

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George E. Andrews Frank Garvan Editors

Analytic Number Theory, Modular Forms and q-Hypergeometric Series In Honor of Krishna Alladi’s 60th Birthday, University of Florida, Gainesville, March 2016

Springer Proceedings in Mathematics & Statistics Volume 221

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.

More information about this series at http://www.springer.com/series/10533

George E. Andrews Frank Garvan •

Editors

Analytic Number Theory, Modular Forms and q-Hypergeometric Series In Honor of Krishna Alladi’s 60th Birthday, University of Florida, Gainesville, March 2016

123

Editors George E. Andrews Department of Mathematics Pennsylvania State University State College, PA USA

Frank Garvan Department of Mathematics University of Florida Gainesville, FL USA

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-68375-1 ISBN 978-3-319-68376-8 (eBook) https://doi.org/10.1007/978-3-319-68376-8 Library of Congress Control Number: 2017958728 Mathematics Subject Classification (2010): 05A17, 11B65, 11F30, 11K65, 11N05, 11P84, 33D15 © Springer International Publishing AG 2017 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, express 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. Printed on acid-free paper This Springer imprint is published by