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Cropping Euler factors of modular<i>L</i>-functions

Cropping Euler factors of modular<i>L</i>-functions

According to the Birch and Swinnerton-Dyer conjectures, if is an abelian variety, then its L-function must capture a substantial part of the properties of A. The smallest number field where A has all its endomorphisms defined must also play a role. This article deals with the relationship between these two …