Daniel Macias Castillo

activity

20152023

most citedOn refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series

5 citations · 6 across the 7 of their papers we have counts for

collaborators

Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023

On Weil-Stark elements, II: refined Stark conjectures

David Burns, Daniel Macias Castillo, Soogil Seo

The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning…

math.NT2023

Numerical Evidence for a refinement of Deligne's Period Conjecture for Jacobians of Curves

Robert Evans, Daniel Macias Castillo, Hanneke Wiersema

Let $A / Q$ be a Jacobian variety and let $F$ be a totally real, tamely ramified, abelian number field. Given a character $ψ$ of $F / Q$ , Deligne's Period Conjecture…