Name
Abstract | ||
|---|---|---|
As a starting point, an important link is established between Brumer's conjecture and the Brumer-Stark conjecture which allows one to translate recent progress on the former into new results on the latter. For example, if K/F is an abelian extension of relative degree 2p, p an odd prime, we prove the l-part of the Brumer-Stark conjecture for all odd primes l ≠ p with F belonging to a wide class of base fields. In the same setting, we study the 2-part and p-part of Brumer-Stark with no special restriction on F and are left with only two well-defined specific classes of extensions that elude proof. Extensive computations were carried out within these two classes and a complete numerical proof of the Brumer-Stark conjecture was obtained in all cases. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1090/S0025-5718-03-01565-5 | Math. Comput. |
Keywords | Field | DocType |
important link,extensive computation,specified degree,brumer-stark conjecture,complete numerical proof,recent progress,new result,elude proof,base field,. algebraic number elds,abelian extension,brumer-stark conjecture. c2003 american mathematical society,odd primes l,prime number,zeta function,roots of unity,galois extension,group ring,ideal class group | Prime (order theory),abc conjecture,Abelian extension,Mathematical analysis,Elliott–Halberstam conjecture,Prime gap,Lonely runner conjecture,Collatz conjecture,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
73 | 245 | 0025-5718 |
Citations | PageRank | References |
1 | 0.63 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Cornelius Greither | 1 | 1 | 0.96 |
| Xavier-François Roblot | 2 | 12 | 4.71 |
| Brett A. Tangedal | 3 | 14 | 4.80 |