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20092025
most citedDarmon points on elliptic curves over number fields of arbitrary signature

18 citations · 60 across the 23 of their papers we have counts for

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math.NT2025

Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points

Lennart Gehrmann, Xavier Guitart, Marc Masdeu

We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…

math.NT2025

Periods of modular forms and applications to the conjectures of Oda and of Prasanna-Venkatesh

Xavier Guitart, Santiago Molina

We establish several formulas relating periods of modular forms on quaternion algebras over number fields to special values of L-functions. Our main inputs are the cohomological te…