A new zeta function for number fields (Q1919026)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new zeta function for number fields |
scientific article; zbMATH DE number 908279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new zeta function for number fields |
scientific article; zbMATH DE number 908279 |
Statements
A new zeta function for number fields (English)
0 references
28 October 1997
0 references
The author reports that a new zeta function \(\sum 1/N_0 (A^s) \) for a number field \(K\) is defined, where \(N_0(A)=\# \{O_{K_0}/A_0\}\) is the new norm of the ideal \(A\), \(O_{K_0}\) are integers with zero trace, and \(A_0=A\cap O_{K_0}\). Then the relation between the absolute normal number fields and the distribution of prime numbers is said to be found.
0 references
algebraic number field
0 references
zeta function
0 references
distribution of prime numbers
0 references
