Guardia J. New Frontiers in Number Theory and Applications 2024

Textbook in PDF format

Preface
About the Chapters of This Book and Their Authors
Survey number theoretic transform algorithm over a polynomial ring and its application
On the Hilbert 2-Class Field Towers of the Layers of Some Cyclotomic Z2-Extensions
Some Remarks on the Coefficients of Cyclotomic Polynomials
Partitions Enumerated by Self-Similar Sequences
On the Exact Divisibility by 5 of the Class Number of Some Pure Metacyclic Fields
On Monogenity of Certain Number Fields Defined by a Trinomial xpr+ax+b
Irreducible factors of a polynomial and extensions of valuations
Lengths and class numbers
On extended k-order Fibonacci and Lucas numbers via DGC numbers
Generalizations of Stirling-like and Bell-like Numbers
The Complex Multiplication Method for Genus 3 Curves
An Optimal Version of Warning's Theorem over the Field of Two Elements
New Perspectives of the Power-Commutator Structure: Coclass Trees of CF-Groups and Related BCF-Groups
The Euler-Riemann Zeta Function with Even Arguments in Terms of Binomial Coefficients
Some Properties of a Type of Entropy of an Ideal and the Divergence of Two Ideals
A Simple and Self-contained Proof for the Lindemann-Weierstrass Theorem
On the 2-Class Number of Some Real Cyclic Quartic Number Fields II
Counting Subgroups of the Groups Zn1 @汥瑀瑯步渠curveZnk: A Survey
On the p-Isogenies of Elliptic Curves with Multiplicative Reduction Over Quadratic Fields
The Hopf-Galois Structures of the 3 and 6-Division Points of the Lemniscate Curve