Explicit Methods for Hilbert Modular Forms

By Lassina Dembélé, John Voight. 2010

68 citations recorded by the source corpus.

The study of modular forms remains a dominant theme in modern number theory, a consequence of their intrinsic appeal as well as their applications to a wide variety of mathematical problems. This subject has seen dramatic progress during the past half-century in an environment where both abstract theory and explicit computation have developed in parallel. Experiments will remain an essential tool in the years ahead, especially as we turn from classical contexts to less familiar terrain.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c91299e49d65e288254b7c9199354093102de9c8

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In Geometry and Topology

1. John Cremona

In Mathematical Physics

1. John Cremona
2. S. Tronto
3. Davide Lombardo

Citations in the corpus

• The L-Functions and Modular Forms Database Project (2015, methodology): “Over the field Q( √ 5), the Hilbert modular forms were computed (inMagma) by John Voight (Dartmouth College) and Steve Donnelly (Sydney) [7], while the elliptic curves were computed (in SageMath) by Jonathan Bober (Bristol), William Stein (Washington), Alyson Deines (CCR), and others [8].”