Overview
- Presents lecture notes from the 2017 International Autumn School of Computational Number Theory
- Offers graduate students a valuable introduction to computational number theory
- Encourages future research by providing up-to-date knowledge from experts in the field
Part of the book series: Tutorials, Schools, and Workshops in the Mathematical Sciences (TSWMS)
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About this book
This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include:
Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field aswell.
- Modular forms
- L-functions
- The modular symbols algorithm
- Diophantine equations
- Nullstellensatz
- Eisenstein series
Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field aswell.
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Table of contents (8 chapters)
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Front Matter
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Research Contributions
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Front Matter
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Editors and Affiliations
Bibliographic Information
Book Title: Notes from the International Autumn School on Computational Number Theory
Editors: Ilker Inam, Engin Büyükaşık
Series Title: Tutorials, Schools, and Workshops in the Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-030-12558-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-12557-8Published: 02 May 2019
eBook ISBN: 978-3-030-12558-5Published: 17 April 2019
Series ISSN: 2522-0969
Series E-ISSN: 2522-0977
Edition Number: 1
Number of Pages: XI, 363
Number of Illustrations: 14 b/w illustrations, 2 illustrations in colour
Topics: Number Theory, Mathematical Applications in Computer Science, Algorithms