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math.NT2008★ 1 cited
A non-solvable Galois extension of $\Q$ ramified at 2 only
Lassina Dembele, with a supplement by Jean-Pierre Serre
In this paper, we show the existence of a non-solvable Galois extension of $\Q$ which is unramified outside 2. The extension we construct has degree $2251731094732800=2^{19}(3\…
math.NT2007
Computing Hilbert modular forms over fields with nontrivial class group
Lassina Dembele, Steve Donnelly
In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degr…
math.NT2007
Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via the Jacquet-Langlands correspondence
Clifton Cunningham, Lassina Dembele
In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative…