The Iwasawa μ-invariant of p-adic Hecke L-functions

• 成果类型: Article
• 署名作者: Hida, Haruzo
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.41
• 发表日期: 2010
• 页码: 41-137
• 关键词: anticyclotomic l-functions; automorphism-groups; abelian varieties; FIELDS; MODULI; VALUES

摘要

For an odd prime p, we compute the mu-invariant of the anticyclotomic Katz p-adic L-function of a p-ordinary CM field if the conductor of the branch character is a product of primes split over the maximal real subfield. Except for rare cases where the root number of the p-adic functional equation is congruent to - 1 modulo p, the invariant vanishes.