Directions in Number Theory
Proceedings of the 2014 WIN3 Workshop
Editors: Eischen, E.E., Long, L., Pries, R., Stange, K.E. (Eds.)
Free Preview- Includes papers spanning a wide range of research areas, including arithmetic geometry, analytic number theory, algebraic number theory, and applications to coding and cryptography Features the contributions of over 40 number theorists, stemming from collaborations between senior and mid-level faculty, junior faculty and postdocs, and graduate students
- Presents a compilation of research and survey papers
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- About this book
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Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography.
The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.
- Table of contents (10 chapters)
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Insufficiency of the Brauer–Manin Obstruction for Rational Points on Enriques Surfaces
Pages 1-31
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Shadow Lines in the Arithmetic of Elliptic Curves
Pages 33-55
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Galois Action on the Homology of Fermat Curves
Pages 57-86
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Zeta Functions of a Class of Artin–Schreier Curves with Many Automorphisms
Pages 87-124
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Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions
Pages 125-159
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Table of contents (10 chapters)
- Download Preface 1 PDF (1.2 MB)
- Download Sample pages 1 PDF (274.9 KB)
- Download Table of contents PDF (59.6 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Directions in Number Theory
- Book Subtitle
- Proceedings of the 2014 WIN3 Workshop
- Editors
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- Ellen E. Eischen
- Ling Long
- Rachel Pries
- Katherine E. Stange
- Series Title
- Association for Women in Mathematics Series
- Series Volume
- 3
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-30976-7
- DOI
- 10.1007/978-3-319-30976-7
- Hardcover ISBN
- 978-3-319-30974-3
- Softcover ISBN
- 978-3-319-80934-2
- Series ISSN
- 2364-5733
- Edition Number
- 1
- Number of Pages
- XV, 339
- Number of Illustrations
- 12 b/w illustrations, 1 illustrations in colour
- Topics
