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A higher order p-adic class number formula
- Publication Year :
- 2012
-
Abstract
- We generalize a formula of Leopoldt which relates the p-adic regulator modulo p of a real abelian extension of Q with the value of the relative Dedekind zeta function at s=2-p. We use this generalization to give a statement on the non-vanishing modulo p of this relative zeta function at the point s=1 under a mild condition.<br />Comment: 6 pages
- Subjects :
- Discrete mathematics
Pure mathematics
Mathematics - Number Theory
Generalization
General Mathematics
Modulo
Mathematics::Number Theory
Abelian extension
Value (computer science)
Class number formula
Riemann zeta function
symbols.namesake
symbols
Order (group theory)
Dedekind zeta function
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....84bcce951a92d03c46380e835472ce5f