La formule limite de Kronecker

2025/07/20 by Pierre Colmez, Colmez, Pierre
Mathematics · #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2507.14834

Abstract

We make some remarks about the relation between the Kronecker limit formula for totally real fields, (normalized) periods of CM abelian varieties, and units in abelian extensions of CM fields.

Related

• On Kronecker terms over global function fields
• On the periods of abelian varieties
• On Kronecker limit formulas for real quadratic fields
• Asymptotic behaviour of the Euler-Kronecker constant
• Several-variable Kronecker limit formula over global function fields