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Notes from the International Autumn School on Computational Number Theory / edited by Ilker Inam, Engin Büyükaşık.

Publication:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
Format/Description:
Book
1 online resource (XI, 363 pages) : 16 illustrations, 2 illustrations in color.
Edition:
1st ed. 2019.
Series:
Mathematics and Statistics (Springer-11649)
Tutorials, schools, and workshops in the mathematical sciences 2522-0969
Tutorials, Schools, and Workshops in the Mathematical Sciences , 2522-0969
Contained In:
Springer eBooks
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Subjects:
Number theory.
Computer science-Mathematics.
Computer science -- Mathematics.
Algorithms.
Local subjects:
Number Theory. (search)
Mathematical Applications in Computer Science. (search)
Algorithms. (search)
System Details:
text file PDF
Summary:
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.
Contents:
Part I: Lecture Notes
An Introduction to Modular Forms
Computational Arithmetic of Modular Forms
Computational Number Theory in Relation with L-functions
Exponential Diophantine Equations
Part II: Research Contributions
Nullstellensatz via Nonstandard Methods
On the (1 + u2 + u3)-Constacyclic and cyclic codes over the finite ring F2 + uF2 + u2F2 + u3F2 + vF2
On higher congruences between cusp forms and Eisenstein series
Lucas Numbers which are Products of Two Balancing Numbers.
Contributor:
Inam, Ilker. editor., Editor,
Büyükaşık, Engin. editor., Editor,
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
ISBN:
978-3-030-12558-5
9783030125585
Publisher Number:
10.1007/978-3-030-12558-5 doi
Access Restriction:
Restricted for use by site license.