Comptes Rendus
no. 4
Homological algebra/Algebraic geometry
Equivariant trace formula mod p
Presented by: the Editorial Board
Jiangxue Fang1
1 Department of Mathematics, Capital Normal University, Beijing 100148, PR China
Comptes Rendus. Mathématique, Volume 354 (2016) no. 4, pp. 335-338

We give an equivariant version of Anderson's trace formula of L-function module p. As an application, we can prove the Stark's conjecture of Artin–Goss L-values of Drinfeld modules.

Nous donnons une version équivariante de la formule des traces d'Anderson pour les L-fonctions modulo p. Comme application, nous montrons la conjecture de Stark pour les valeurs de fonctions L de Artin–Gross des modules de Drinfeld.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2015.12.014

Jiangxue Fang 1

1 Department of Mathematics, Capital Normal University, Beijing 100148, PR China 
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Jiangxue Fang. Equivariant trace formula mod p. Comptes Rendus. Mathématique, Volume 354 (2016) no. 4, pp. 335-338. doi: 10.1016/j.crma.2015.12.014

[1] G. Anderson An elementary approach to L-functions mod p, J. Number Theory, Volume 80 (2000) no. 2, pp. 291-303

[2] G. Böckle; R. Pink Cohomological Theory of Crystals over Function Fields, EMS Tracts in Mathematics, vol. 9, 2009

[3] J. Fang Special L-values of Abelian t-modules, J. Number Theory, Volume 147 (2015), pp. 300-325

[4] J. Fang Equivariant special L-values of Abelian t-modules | arXiv

[5] L. Taelman Special L-values of Drinfeld modules, Ann. Math. (2), Volume 175 (2012) no. 1, pp. 369-391

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