Module de continuité des fonctions \(L\) 2-adiques des caractères quadratiques. (Modulus of continuity of 2-adic L-functions of quadratic characters)

DOI10.1007/BF02567079zbMath0763.11044OpenAlexW2091327502MaRDI QIDQ1197361

Rachid Pioui

Publication date: 16 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155718

zbMATH Keywords

\(p\)-adic congruencesHaar measure\(p\)-adic \(L\)-functionpseudo-measurecontinuous charactereven quadratic character

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Cites Work

• Unnamed Item
• On the congruences for the class numbers of the quadratic fields whose discriminants are divisible by 8
• Pseudo-mesures p-adiques associées aux fonctions L de \({\mathbb{Q}}\). (p- adic pseudo-measures associated to L-functions of \({\mathbb{Q}})\)
• Congruences dyadiques entre nombres de classes de corps quadratiques. (Dyadic congruences between class numbers of quadratic fields)
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Congruences between class numbers of quadratic number fields
• Nouvelle demonstration d'une congruence modulo 16 entre les nombres de classes d'ideaux de \(Q(\sqrt{-2p})\) et \(Q(\sqrt{2p})\) pour p premier = 1 (mod 4)
• On the 2-primary part of a conjecture of Birch and Tate
• Relations congruentielles linéaires entre nombres de classes de corps quadratiques
• On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime