The 3‐part of Class Numbers of Quadratic Fields

By L. Pierce. 2005

49 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Artificial Intelligence, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/503c5bff73aa064f2554fee88392b2640e5bfc42

How researchers see this paper

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

In Algebra and Number Theory

1. Jordan S. Ellenberg
2. Akshay Venkatesh
3. Melanie Matchett Wood
4. Kaneenika Sinha
5. M. Ram Murty
6. L. Pierce
7. Kiran S. Kedlaya
8. P. Michel

In Artificial Intelligence

1. Jordan S. Ellenberg
2. Akshay Venkatesh
3. Melanie Matchett Wood
4. M. Ram Murty
5. Kaneenika Sinha

In Geometry and Topology

1. Melanie Matchett Wood
2. L. Pierce
3. Jordan S. Ellenberg
4. Akshay Venkatesh
5. M. Ram Murty
6. Kaneenika Sinha
7. Kiran S. Kedlaya
8. P. Michel

Citations in the corpus

• On ℓ-torsion in class groups of number fields (2016, background): “For l = 3, after initial incremental improvement in [HV06], [Pie05], [Pie06] over the trivial bound (1.”
• Reflection Principles and Bounds for Class Group Torsion (2007, background): “D̃iv 0 K is a number-field analogue of the group of “divisor classes of degree 0.””
• Effective equidistribution of eigenvalues of Hecke operators (2009, background): “Lillian Pierce, in [20], has obtained a bound of the form O(N27/56) and Helfgott and Venkatesh in [12] got the further improvement O(N .”