Elementary Estimates for the Number of Pure Number Fields of Degree p.
Fujisawa, Y.;
Elementary Estimates for the Number of Pure Number Fields of Degree p.
Summary: Let \(p\) be an odd prime number, and \(X\) a large real number. In this note, we consider the lower and upper bounds of the number of pure number fields of degree \(p\) with the absolute values of discriminants at most \(X\) by elementary methods.
discriminant, pure number field, Riemann zeta function, Asymptotic results on counting functions for algebraic and topological structures, Other abelian and metabelian extensions
discriminant, pure number field, Riemann zeta function, Asymptotic results on counting functions for algebraic and topological structures, Other abelian and metabelian extensions