scientific article; zbMATH DE number 3609816

zbMath0393.12026MaRDI QIDQ4175668

Jean-Pierre Serre

Publication date: 1978

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

class numbertotally real field\(p\)-adic regulatorresidue of zeta function\(p\)-adic zeta function

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40) Totally real fields (11R80)

Related Items

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions, \(p\)-adic Abelian Stark conjectures at \(s=1\), Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory, Pseudo-mesures p-adiques associées aux fonctions L de \({\mathbb{Q}}\). (p- adic pseudo-measures associated to L-functions of \({\mathbb{Q}})\), Algebraic number fields, On the “main conjecture” of equivariant Iwasawa theory, Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases, On the Galois structure of arithmetic cohomology. II: Ray class groups, Unnamed Item, The main conjecture of Iwasawa theory for totally real fields, \(p\)-adic approach of Greenberg's conjecture for totally real fields, On derivatives of Artin \(L\)-series, Shintani zeta functions and Gross-Stark units for totally real fields, Heuristics and conjectures in the direction of a $p$-adic Brauer–Siegel Theorem, On the p‐adic Stark conjecture at s=1 and applications, Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions, Toward equivariant Iwasawa theory. III, Unnamed Item, The second syzygy of the trivial \(G\)-module, and an equivariant main conjecture, Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields, Iwasawa theory for class groups of CM fields with \(p = 2\), Ideal norms in the cyclotomic tower and Greenberg's conjecture, A note on Iwasawa invariants and the main conjecture, On the structure of the Galois group of the abelian closure of a number field