On the Gross-Stark Conjecture
Publication
, Journal Article
Dasgupta, S; Kakde, M; Ventullo, K
Published in: Annals of Mathematics
November 1, 2018
In 1980, Gross conjectured a formula for the expected leading term at s=0 of the Deligne-Ribet p-adic L-function associated to a totally even character ϕ of a totally real field F. The conjecture states that after scaling by L(ϕω-1,0), this value is equal to a p-adic regulator of units in the abelian extension of F cut out by ϕω-1. In this paper, we prove Gross's conjecture.
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Published In
Annals of Mathematics
DOI
EISSN
1939-8980
ISSN
0003-486X
Publication Date
November 1, 2018
Volume
188
Issue
3
Start / End Page
833 / 870
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dasgupta, S., Kakde, M., & Ventullo, K. (2018). On the Gross-Stark Conjecture. Annals of Mathematics, 188(3), 833–870. https://doi.org/10.4007/annals.2018.188.3.3
Dasgupta, S., M. Kakde, and K. Ventullo. “On the Gross-Stark Conjecture.” Annals of Mathematics 188, no. 3 (November 1, 2018): 833–70. https://doi.org/10.4007/annals.2018.188.3.3.
Dasgupta S, Kakde M, Ventullo K. On the Gross-Stark Conjecture. Annals of Mathematics. 2018 Nov 1;188(3):833–70.
Dasgupta, S., et al. “On the Gross-Stark Conjecture.” Annals of Mathematics, vol. 188, no. 3, Nov. 2018, pp. 833–70. Scopus, doi:10.4007/annals.2018.188.3.3.
Dasgupta S, Kakde M, Ventullo K. On the Gross-Stark Conjecture. Annals of Mathematics. 2018 Nov 1;188(3):833–870.
Published In
Annals of Mathematics
DOI
EISSN
1939-8980
ISSN
0003-486X
Publication Date
November 1, 2018
Volume
188
Issue
3
Start / End Page
833 / 870
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics