| Autor: |
McGown, Kevin J., Tucker, Amanda |
| Zdroj: |
Bulletin of the London Mathematical Society; Sep2024, Vol. 56 Issue 9, p2874-2885, 12p |
| Abstrakt: |
We prove that the number of quartic fields K$K$ with discriminant |ΔK|⩽X$|\Delta _K|\leqslant X$ whose Galois closure is D4$D_4$ equals CX+O(X5/8+ε)$CX+O(X^{5/8+\varepsilon })$, improving the error term in a well‐known result of Cohen, Diaz y Diaz, and Olivier. We prove an analogous result for counting quartic dihedral extensions over an arbitrary base field. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
Plný text