Geodesic
On the Gross–Stark Conjecture
Samit Dasgupta1 ; Mahesh Kakde2 ; Kevin Ventullo3
1 Duke University, Durham, NC
2 King's College London, London, England, United Kingdom
3 University of California, Los Angeles, Los Angeles, CA
Annals of mathematics, Tome 188 (2018) no. 3, pp. 833-870

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $\psi $ of a totally real field $F$. The conjecture states that after scaling by $L(\psi \omega ^{-1}, 0)$, this value is equal to a $p$-adic regulator of units in the abelian extension of $F$ cut out by $\psi \omega ^{-1}$. In this paper, we prove Gross’s conjecture.

DOI : 10.4007/annals.2018.188.3.3

Samit Dasgupta 1 ; Mahesh Kakde 2 ; Kevin Ventullo 3

1 Duke University, Durham, NC
2 King's College London, London, England, United Kingdom
3 University of California, Los Angeles, Los Angeles, CA 
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Samit Dasgupta; Mahesh Kakde; Kevin Ventullo. On the Gross–Stark Conjecture. Annals of mathematics, Tome 188 (2018) no. 3, pp. 833-870. doi: 10.4007/annals.2018.188.3.3

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