The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields (Q1116975)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields |
scientific article; zbMATH DE number 4089672
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields |
scientific article; zbMATH DE number 4089672 |
Statements
The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields (English)
0 references
1988
0 references
The conjecture in the title was stated by Gross for global fields (it is formulated in section 1 of the present paper). The conjecture is proved here for function fields, using Drinfeld modules. Analogy is shown between the case of a function field and the case of \(\mathbb Q\). So the method leads to a new proof of the conjecture over \(\mathbb Q\).
0 references
\(\mathfrak p\)-adic abelian Stark conjecture
0 references
function fields
0 references
Drinfeld modules
0 references
0.95045865
0 references
0.93329155
0 references
0.93029183
0 references
0.92896056
0 references
0.92413324
0 references
0.9220438
0 references
