Guardia J. New Frontiers in Number Theory and Applications 2024

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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