New Frontiers in Number Theory and Applications

Chapter. 1. Survey Number Theoretic Transform Algorithm over a polynomial ring and its application. - Chapter. 2. On the Hilbert 2-class field towers of the layers of some cyclotomic Z2- extensions. - Chapter. 3. Some remarks on the coefficients of cyclotomic polynomials. - Chapter. 4. Partitions enumerated by self-similar sequences. - Chapter. 5. On the exact divisibility by 5 of the class number of some pure metacyclic fields. - Chapter. 6. On monogenity of certain number fields defined by a trinomial xpr + ax + b. - Chapter. 7. Irreducible Factors of a Polynomial and Extensions of Valuations. - Chapter. 8. Lengths and Class Numbers. - Chapter. 9. On Extended k order Fibonacci and Lucas Numbers via DGC Numbers. - Chapter. 10. Generalizations of Stirling-like and Bell-like numbers. - Chapter. 11. The complex multiplication method for genus 3 curves. - Chapter. 12. An optimal Chevalley-Warning theorem over the field of two elements. - Chapter. 13. New perspectives of the power-commutator structure: coclass trees of CF-groups and related BCF-groups. - Chapter. 14. The Euler-Riemann zeta function with even arguments in terms of binomial coefficients. - Chapter. 15. Some properties of a type of entropy of an ideal and the divergence of two ideals. - Chapter. 16. A simple and self-contained proof for the Lindemann-Weierstrass theorem. - Chapter. 17. On the 2-class number of some real cyclic quartic number fields II. - Chapter. 18. On the p -isogenies of elliptic curves with multiplicative reduction over quadratic fields. - Chapter. 19. The Hopf-Galois structures of the 3 and 6-division points of the lemniscate curve.