Notes from the International Autumn School on Computational Number Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Inam, Ilker (Editor, http://id.loc.gov/vocabulary/relators/edt), Büyükaşık, Engin (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Tutorials, Schools, and Workshops in the Mathematical Sciences ,
• Subjects: Number theory.; Computer science-Mathematics.; Computer mathematics.; Algorithms.; Number Theory.; Mathematical Applications in Computer Science.

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...

Table of 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.