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20102019
most citedThe exceptional zero conjecture for symmetric powers of CM modular forms: the ordinary case

4 citations · 11 across the 9 of their papers we have counts for

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math.NT2019★ 1 cited

The shapes of Galois quartic fields

Piper H, Robert Harron

We determine the shapes of all degree number fields that are Galois. These lie in four infinite families depending on the Galois group and the tame versus wild ramification of…

math.NT2019★ 3 cited

Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent

Robert Harron

We show that the shape of a complex cubic field lies on the geodesic of the modular surface defined by the field's trace-zero form. We also prove a general such statement for all o…