Research Directions in Number Theory Women in Numbers IV

These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects paper

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Jennifer S. Balakrishnan Amanda Folsom Matilde Lalín Michelle Manes Editors

Research Directions in Number Theory Women in Numbers IV

Association for Women in Mathematics Series Volume 19

Series Editor Kristin Lauter Microsoft Research Redmond, Washington, USA

Association for Women in Mathematics Series

Focusing on the groundbreaking work of women in mathematics past, present, and future, Springer’s Association for Women in Mathematics Series presents the latest research and proceedings of conferences worldwide organized by the Association for Women in Mathematics (AWM). All works are peer-reviewed to meet the highest standards of scientific literature, while presenting topics at the cutting edge of pure and applied mathematics. Since its inception in 1971, The Association for Women in Mathematics has been a non-profit organization designed to help encourage women and girls to study and pursue active careers in mathematics and the mathematical sciences and to promote equal opportunity and equal treatment of women and girls in the mathematical sciences. Currently, the organization represents more than 3000 members and 200 institutions constituting a broad spectrum of the mathematical community, in the United States and around the world.

More information about this series at http://www.springer.com/series/13764

Jennifer S. Balakrishnan • Amanda Folsom Matilde Lalín • Michelle Manes Editors

Research Directions in Number Theory Women in Numbers IV

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Editors Jennifer S. Balakrishnan Department of Mathematics and Statistics Boston University Boston, MA, USA Matilde Lalín Département de mathématiques et de statistique Université de Montréal Montréal, QC, Canada

Amanda Folsom Department of Mathematics and Statistics Amherst College Amherst, MA, USA Michelle Manes Department of Mathematics University of Hawai‘i Honolulu, HI, USA

ISSN 2364-5733 ISSN 2364-5741 (electronic) Association for Women in Mathematics Series ISBN 978-3-030-19477-2 ISBN 978-3-030-19478-9 (eBook) https://doi.org/10.1007/978-3-030-19478-9 Mathematics Subject Classification: 05C25, 14G50, 11G20 © The Author(s) and The Association for Women in Mathematics 2019 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