Geodesic
On the root of unity ambiguity in a formula for the Brumer–Stark units
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 611-623

Voir la notice de l'article provenant de la source Cambridge

DOI

We prove a conjectural formula for the Brumer–Stark units. Dasgupta and Kakde have shown the formula is correct up to a bounded root of unity. In this paper, we resolve the ambiguity in their result. We also remove an assumption from Dasgupta–Kakde’s result on the formula.
DOI : 10.4153/S0008439523001005
Mots-clés : Brumer–Stark units, L-functions, Totally real fields 
Honnor, Matthew H. On the root of unity ambiguity in a formula for the Brumer–Stark units. Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 611-623. doi: 10.4153/S0008439523001005
@article{10_4153_S0008439523001005,
     author = {Honnor, Matthew H.},
     title = {On the root of unity ambiguity in a formula for the {Brumer{\textendash}Stark} units},
     journal = {Canadian mathematical bulletin},
     pages = {611--623},
     year = {2024},
     volume = {67},
     number = {3},
     doi = {10.4153/S0008439523001005},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523001005/}
}
TY  - JOUR
AU  - Honnor, Matthew H.
TI  - On the root of unity ambiguity in a formula for the Brumer–Stark units
JO  - Canadian mathematical bulletin
PY  - 2024
SP  - 611
EP  - 623
VL  - 67
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523001005/
DO  - 10.4153/S0008439523001005
ID  - 10_4153_S0008439523001005
ER  - 
%0 Journal Article
%A Honnor, Matthew H.
%T On the root of unity ambiguity in a formula for the Brumer–Stark units
%J Canadian mathematical bulletin
%D 2024
%P 611-623
%V 67
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523001005/
%R 10.4153/S0008439523001005
%F 10_4153_S0008439523001005

Cité par Sources :