3 papers
math.NT2026
Shimura Reciprocity for Real Quadratic Fields
Joseph DiCapua
The purpose of this note is to give conditional explicit formulas for the Galois action on real multiplication values of the Shintani--Faddeev modular cocycle. We assume the order…
math.NT2024
Eigenspaces of Coleman's Trace Operator
Joseph DiCapua
The Coleman power series defined on a Lubin-Tate tower of extensions over are compatible with respect to two formal group laws: the multiplicative formal group law and some Lub…
math.NT2024
Parametrization of Formal Norm Compatible Sequences
Joseph DiCapua, Victor Kolyvagin
We give a classification of power series parametrizing Lubin-Tate trace compatible sequences. This proof answers a question posed in the literature by Berger and Fourquaux. Lubin-T…