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math.NT2021★ 2 cited
On the Gross order of vanishing conjecture for large vanishing orders
Martin Hofer, Sören Kleine
We prove the Gross order of vanishing conjecture in special cases where the vanishing order of the character in question can be arbitrarily large. In almost all previously known ca…
math.NT2021
The equivariant Tamagawa Number Conjecture for abelian extensions of imaginary quadratic fields
Dominik Bullach, Martin Hofer
We prove the Iwasawa-theoretic version of a Conjecture of Mazur--Rubin and Sano in the case of elliptic units. This allows us to derive the -part of the equivariant Tamagawa num…