2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2020★ 2 cited
Group Ring Valued Hilbert Modular Forms
Jesse Silliman
In this paper, we study the action of diamond operators on Hilbert modular forms with coefficients in a general commutative ring. In particular, we generalize a result of Chai on t…
math.NT2020
Irrational periods of Hilbert Eisenstein series via toroidal compactification
Jesse Silliman
We show that the periods of the holomorphic Eisenstein series of level 1, parallel weight 2, on a Hilbert modular surface are not rational, even up to scaling. This is deduced from…
math.NT2013
Powers in Lucas Sequences via Galois Representations
Jesse Silliman, Isabel Vogt
Let be a nondegenerate Lucas sequence. We generalize the results of Bugeaud, Mignotte, and Siksek, 2006 to give a systematic approach towards the problem of determining all p…