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
Altmetric Attention Stats
Dimensions Citation Stats
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