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Notes from the International Autumn School on Computational Number Theory

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eBook

2019

363 S. XI, 363 p. 16 illus., 2 illus. in color..

In englischer Sprache

Springer Nature Switzerland. ISBN 978-3-030-12558-5

Das Werk ist Teil der Reihe: Tutorials, Schools, and Workshops in the Mathematical Sciences

Produktbeschreibung

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:

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 as well.