Efficient calculation of Stark-Heegner points via overconvergent modular symbols

By Henri Darmon, Robert H. Pollack. 2006

65 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Geometry and Topology, Information Systems

View Paper: https://www.semanticscholar.org/paper/0329809af445db279a2e1e382c02b4fbf32d0999

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Matthew Greenberg
2. Samit Dasgupta

In Geometry and Topology

1. Matthew Greenberg
2. Samit Dasgupta
3. Henri Darmon

In Information Systems

1. Matthew Greenberg
2. Samit Dasgupta

Citations in the corpus

• Stark–Heegner points on modular jacobians (2005, methodology): “For fixed p, this definition allows one to calculate a given double integral to an accuracy of Mp -adic digits in time exponential in M . Darmon and Pollack [ 9 ] have devised an algorithm to calculate these double integrals in time polynomial in M , but we use only the naive definition in the prese”
• STARK-HEEGNER POINTS AND THE COHOMOLOGY OF QUATERNIONIC SHIMURA VARIETIES (2009, background): “Modular symbols have also proved essential in the gathering of numerical evidence for the conjectures of [5] (see [7]).”