Notes from the International Autumn School on Computational Number Theory: Tutorials, Schools, and Workshops in the Mathematical Sciences
Editat de Ilker Inam, Engin Büyükaşıken Limba Engleză Paperback – 2 mai 2019
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 aswell.
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Specificații
ISBN-13: 9783030125578
ISBN-10: 3030125572
Pagini: 348
Ilustrații: XI, 363 p. 16 illus., 2 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.58 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Tutorials, Schools, and Workshops in the Mathematical Sciences
Locul publicării:Cham, Switzerland
ISBN-10: 3030125572
Pagini: 348
Ilustrații: XI, 363 p. 16 illus., 2 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.58 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Tutorials, Schools, and Workshops in the Mathematical Sciences
Locul publicării:Cham, Switzerland
Cuprins
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.
Textul de pe ultima copertă
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.
Caracteristici
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