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Notes from the International Autumn School on Computational Number Theory -

Notes from the International Autumn School on Computational Number Theory

Buch | Softcover
XI, 363 Seiten
2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-12557-8 (ISBN)
CHF 127,30 inkl. MwSt
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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.

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.

Erscheinungsdatum
Reihe/Serie Tutorials, Schools, and Workshops in the Mathematical Sciences
Zusatzinfo XI, 363 p. 16 illus., 2 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 575 g
Themenwelt Informatik Theorie / Studium Algorithmen
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte diophantine equations • Galois representations • Modular Forms • Nonstandard methods • Number Theory
ISBN-10 3-030-12557-2 / 3030125572
ISBN-13 978-3-030-12557-8 / 9783030125578
Zustand Neuware
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