p-adic periods and modular symbols of elliptic curves of prime conductor

Ehud de Shalit

doi:10.1007/BF01884297

p-adic periods and modular symbols of elliptic curves of prime conductor

Ehud de Shalit^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Under certain assumptions, we prove a conjecture of Mazur and Tate describing a relation between the modular symbol attached to an elliptic curve with split multiplicative reduction at p, and its p-adic period. We generalize this relation to modular forms of weight 2 with coefficients not necessarily in.

Original language	English
Pages (from-to)	225-255
Number of pages	31
Journal	Inventiones Mathematicae
Volume	121
Issue number	1
DOIs	https://doi.org/10.1007/BF01884297
State	Published - Dec 1995

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p-adic periods and modular symbols of elliptic curves of prime conductor

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