Numerical Verification of the Brumer-Stark Conjecture
Roblot, Xavier-François ; Tangedal, Brett
HAL, hal-00863022 / Harvested from HAL
Text on HAL
We study the Brumer-Stark conjecture computationally in the simplest situation in which it is unproven: an extension K/k with k quadratic, Gal(K/k) isomorphic to ℤ/4ℤ, the class group of K non trivial, K/ℚ non Galois. We verify the conjecture in 379 such cases and study the problem of whether the power of 2 dividing the Brumer element can be replaced by a lower 2-power so that the result remains true.
Publié le : 2000-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00863022,
     author = {Roblot, Xavier-Fran\c cois and Tangedal, Brett},
     title = {Numerical Verification of the Brumer-Stark Conjecture},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00863022}
}

Roblot, Xavier-François; Tangedal, Brett. Numerical Verification of the Brumer-Stark Conjecture. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00863022/