EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 127

Racines cubiques de nombres entiers et multiplication complexe dans les fonctions elliptiques

D. Mirimanoff (1903)

Mathematische Annalen

Radicals and units in Ramanujan's work

Bruce C. Berndt, Heng Huat Chan, Liang-Cheng Zhang (1998)

Acta Arithmetica

Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)

Liang-Cheng Zhang (1997)

Acta Arithmetica

Ramification groups and Artin conductors of radical extensions of $ℚ$

Filippo Viviani (2004)

Journal de Théorie des Nombres de Bordeaux

We study the ramification properties of the extensions $ℚ (ζ_{m}, \sqrt[m]{a}) / ℚ$ under the hypothesis that $m$ is odd and if $p ∣ m$ than either $p ∤ v_{p} (a)$ or $p^{v_{p} (m)} ∣ v_{p} (a)$ ( $v_{p} (a)$ and $v_{p} (m)$ are the exponents with which $p$ divides $a$ and $m$ ). In particular we determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois group. As an application, we give formulas for the $p$ -adique valuation of the discriminant of the studied global extensions with $m = p^{r}$ .

Ramification in quartic cyclic number fields $K$ generated by $x^{4} + p x^{2} + p$

Julio Pérez-Hernández, Mario Pineda-Ruelas (2021)

Mathematica Bohemica

If $K$ is the splitting field of the polynomial $f (x) = x^{4} + p x^{2} + p$ and $p$ is a rational prime of the form $4 + n^{2}$ , we give appropriate generators of $K$ to obtain the explicit factorization of the ideal $q 𝒪_{K}$ , where $q$ is a positive rational prime. For this, we calculate the index of these generators and integral basis of certain prime ideals.

Ramification in the Coates-Wiles tower.

Rajiv Gupta (1985)

Inventiones mathematicae

Ramification modérée dans les les corps de nombres de degré premier

F. LAUBIE, P. BARRUCAND (1981/1982)

Seminaire de Théorie des Nombres de Bordeaux

Ramifications minimales

Georges Gras (2000)

Journal de théorie des nombres de Bordeaux

Nous appliquons à la notion d’extension (cyclique de degré $p$ ) à ramification minimale, les techniques de “ réflexion ” qui permettent une caractérisation très simple de ces extensions à l’aide d’un corps gouvernant.