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An Elementary Proof of a Weak Exceptional Zero Conjecture

An Elementary Proof of a Weak Exceptional Zero Conjecture

Abstract In this paper we extend Darmon's theory of “integration on ℋ p × ℋ” to cusp forms f of higher even weight. This enables us to prove a “weak exceptional zero conjecture”: that when the p -adic L -function of f has an exceptional zero at the central point, …