David Kurniadi Angdinata

University College London (LSGNT) University College London (LSGNT)

L-values of elliptic curves and their twists by cubic characters

Linfoot Number Theory Seminar

24th April 2024, 11:00 am – 12:00 pm
Fry Building, 2.04

The L-function of a rational elliptic curve, when base changed to a number field, decomposes into a product of L-functions twisted by Artin representations. Over an abelian extension, their associated central algebraic L-values are known in many cases to be integral. In this talk, I will explain how to relate these L-values to Birch--Swinnerton-Dyer invariants, and how to compute their residual densities. I will focus on L-values twisted by cubic characters, where these can be made very explicit.

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