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  • © 2019

Notes from the International Autumn School on Computational Number Theory

Birkhäuser
  • 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

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-12558-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 109.99
Price excludes VAT (USA)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
  2. Lecture Notes

    1. Front Matter

      Pages 1-1
    2. An Introduction to Modular Forms

      • Henri Cohen
      Pages 3-62
    3. Exponential Diophantine Equations

      • Florian Luca
      Pages 267-309
  3. Research Contributions

    1. Front Matter

      Pages 311-311
    2. Nullstellensatz via Nonstandard Methods

      • Haydar Göral
      Pages 313-322

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:
  • 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.

Keywords

  • Galois representations
  • modular forms
  • Diophantine equations
  • Number theory
  • Nonstandard methods

Editors and Affiliations

  • Department of Mathematics, Faculty of Arts and Science, Bilecik Şeyh Edebali University, Bilecik, Turkey

    Ilker Inam

  • Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey

    Engin Büyükaşık

Bibliographic Information

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-12558-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 109.99
Price excludes VAT (USA)