Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units
Publication
, Journal Article
Dasgupta, S; Spieß, M
Published in: Journal of the European Mathematical Society
January 1, 2018
We prove a conjecture of Gross regarding the “order of vanishing” of Stickelberger elements relative to an abelian tower of fields and give a cohomological construction of the conjectural Gross-Stark units. This is achieved by introducing an integral version of the Eisenstein cocycle.
Duke Scholars
Published In
Journal of the European Mathematical Society
DOI
ISSN
1435-9855
Publication Date
January 1, 2018
Volume
20
Issue
11
Start / End Page
2643 / 2683
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dasgupta, S., & Spieß, M. (2018). Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society, 20(11), 2643–2683. https://doi.org/10.4171/JEMS/821
Dasgupta, S., and M. Spieß. “Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units.” Journal of the European Mathematical Society 20, no. 11 (January 1, 2018): 2643–83. https://doi.org/10.4171/JEMS/821.
Dasgupta S, Spieß M. Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society. 2018 Jan 1;20(11):2643–83.
Dasgupta, S., and M. Spieß. “Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units.” Journal of the European Mathematical Society, vol. 20, no. 11, Jan. 2018, pp. 2643–83. Scopus, doi:10.4171/JEMS/821.
Dasgupta S, Spieß M. Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units. Journal of the European Mathematical Society. 2018 Jan 1;20(11):2643–2683.
Published In
Journal of the European Mathematical Society
DOI
ISSN
1435-9855
Publication Date
January 1, 2018
Volume
20
Issue
11
Start / End Page
2643 / 2683
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics