Modular functions and the uniform distribution of CM points
By William Duke. 2006
58 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Artificial Intelligence, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/686e4d2c0f137b40138b433494696751394dd78f
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
- Ken Ichi Ono
- Ö. Imamoḡlu
- William Duke
- Jan H. Bruinier
- Á. Tóth
- P. Jenkins
- Kathrin Bringmann
- Jens Funke
In Artificial Intelligence
In Geometry and Topology
- Ken Ichi Ono
- P. Jenkins
- Ö. Imamoḡlu
- Á. Tóth
- William Duke
- Jan H. Bruinier
- Kathrin Bringmann
- Dermot McCarthy
Citations in the corpus
- Hilbert class polynomials and traces of singular moduli (2006, background): “As d ! 1 , these values appear to converge to the constant 24. We informed Duke of these observations, and he has recently proved [ D2 ] a reformulation which implies the following theorem.”
- Cycle integrals of the j-function and mock modular forms (2011, methodology): “The method of using Kloosterman sums in this way was first applied by Zagier [46] to base change, then by Kohnen [32] to the Shimura lift and more recently to weakly holomorphic forms in [4], [9], [25] and [7].”
- Unearthing the visions of a master: harmonic Maass forms and number theory (2008, background): “…with generalizations in a variety of directions in works by the author, Bringmann, Bruinier, D. Choi, W. Duke, A. Folsom, J. Funke, O. Imamo¯ glu, P. Jenkins, D. Jeon, S.-Y. Kang, C. Kim, R. Masri, A. Miller, A. Pixton, J. Rouse, and A. Toth [54] [58] [64] [65] [77] [78] [87] [88] [89] [95] [154].”
- Integral traces of singular values of weak Maass forms (2008, methodology): “In [ 8 ] it was applied to give a new proof of Zagier’s original identity for traces of singular moduli.”