William Duke
Affiliations: | Mathematics | University of California, Los Angeles, Los Angeles, CA |
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"William Duke"Bio:
Parents
Sign in to add mentor| Peter C Sarnak | grad student | 1986 | NYU | |
| (Some Problems in Multidimensional Analytic Number Theory.) | ||||
Children
Sign in to add trainee| Ryan C. Daileda | grad student | 2004 | UCLA |
| Nathan C. Jones | grad student | 2005 | UCLA |
| Amanda L. Folsom | grad student | 2006 | UCLA |
| John G. Leo | grad student | 2008 | UCLA |
| Jack Buttcane | grad student | 2012 | UCLA |
| Matthew E. Lane | grad student | 2012 | UCLA |
| Yingkun Li | grad student | 2013 | UCLA |
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Publications
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| Duke W, Nguyen HN. (2020) Riesz means of certain arithmetic functions Journal of Number Theory. 210: 132-141 |
| Andersen N, Duke W. (2019) Markov spectra for modular billiards Mathematische Annalen. 373: 1151-1175 |
| D'Hoker E, Duke W. (2018) Fourier series of modular graph functions Journal of Number Theory. 192: 1-36 |
| Duke W, Imamoḡlu Ö, Tóth Á. (2017) Modular cocycles and linking numbers Duke Mathematical Journal. 166: 1179-1210 |
| Duke W, Imamoḡlu Ö, Tóth Á. (2016) Regularized inner products of modular functions Ramanujan Journal. 41: 13-29 |
| Duke W, Friedlander JB, Iwaniec H. (2012) Erratum to “Corrections to: Weyl Sums for Quadratic Roots” International Mathematics Research Notices. 2012: 2646-2648 |
| Duke W, Friedlander JB, Iwaniec H. (2012) Weyl sums for quadratic roots International Mathematics Research Notices. 2012: 2493-2549 |
| Duke W, Imamoglu Ö, Tóth Á. (2011) Cycle integrals of the j-function and mock modular forms Annals of Mathematics. 173: 947-981 |
| Duke W, Imamoḡlu Ö, Tóth Á. (2010) Real Quadratic Analogs of Traces of Singular Moduli International Mathematics Research Notices. 2011: 3082-3094 |
| Duke W, Imamoḡlu Ö, Tóth Á. (2010) Rational period functions and cycle integrals Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg. 80: 255-264 |