William Duke - Publications

Affiliations: 
Mathematics University of California, Los Angeles, Los Angeles, CA 

20 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Duke W, Nguyen HN. Riesz means of certain arithmetic functions Journal of Number Theory. 210: 132-141. DOI: 10.1016/J.Jnt.2019.10.007  0.363
2019 Andersen N, Duke W. Markov spectra for modular billiards Mathematische Annalen. 373: 1151-1175. DOI: 10.1007/S00208-018-1781-X  0.323
2018 D'Hoker E, Duke W. Fourier series of modular graph functions Journal of Number Theory. 192: 1-36. DOI: 10.1016/J.Jnt.2018.04.012  0.325
2017 Duke W, Imamoḡlu Ö, Tóth Á. Modular cocycles and linking numbers Duke Mathematical Journal. 166: 1179-1210. DOI: 10.1215/00127094-3793032  0.352
2016 Duke W, Imamoḡlu Ö, Tóth Á. Regularized inner products of modular functions Ramanujan Journal. 41: 13-29. DOI: 10.1007/S11139-013-9544-5  0.313
2012 Duke W, Friedlander JB, Iwaniec H. Erratum to “Corrections to: Weyl Sums for Quadratic Roots” International Mathematics Research Notices. 2012: 2646-2648. DOI: 10.1093/Imrn/Rnr240  0.349
2012 Duke W, Friedlander JB, Iwaniec H. Weyl sums for quadratic roots International Mathematics Research Notices. 2012: 2493-2549. DOI: 10.1093/Imrn/Rnr112  0.32
2011 Duke W, Imamoglu Ö, Tóth Á. Cycle integrals of the j-function and mock modular forms Annals of Mathematics. 173: 947-981. DOI: 10.4007/Annals.2011.173.2.8  0.351
2010 Duke W, Imamoḡlu Ö, Tóth Á. Real Quadratic Analogs of Traces of Singular Moduli International Mathematics Research Notices. 2011: 3082-3094. DOI: 10.1093/Imrn/Rnq159  0.31
2010 Duke W, Imamoḡlu Ö, Tóth Á. Rational period functions and cycle integrals Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg. 80: 255-264. DOI: 10.1007/S12188-010-0038-8  0.303
2008 Duke W, Imamoḡlu Ö. The zeros of the Weierstrass \wp–function and hypergeometric series Mathematische Annalen. 340: 897-905. DOI: 10.1007/S00208-007-0174-3  0.341
2005 Duke W. Continued fractions and modular functions Bulletin of the American Mathematical Society. 42: 137-162. DOI: 10.1090/S0273-0979-05-01047-5  0.331
2005 Duke W. On ternary quadratic forms Journal of Number Theory. 110: 37-43. DOI: 10.1016/J.Jnt.2004.06.013  0.323
2004 Duke W, Imamoglu Ö. Lattice points in cones and Dirichlet series International Mathematics Research Notices. 2004: 2823-2836. DOI: 10.1155/S1073792804133709  0.329
2003 Duke W. Rational Points on the Sphere Ramanujan Journal. 7: 235-239. DOI: 10.1023/A:1026203430418  0.315
2003 Duke W. Extreme Values of Artin L-Functions and Class Numbers Compositio Mathematica. 136: 103-115. DOI: 10.1023/A:1022695505997  0.363
2001 Duke W, Friedlander JB, Iwaniec H. Bounds for automorphic L-functions. III Inventiones Mathematicae. 143: 221-248. DOI: 10.1007/S002220000104  0.301
1993 Duke W, Rudnick Z, Sarnak PC. Density of integer points on affine homogeneous varieties Duke Mathematical Journal. 71: 143-179. DOI: 10.1215/S0012-7094-93-07107-4  0.527
1993 Duke W, Friedlander J, Iwaniec H. Bounds for automorphic L-functions Inventiones Mathematicae. 112: 1-8. DOI: 10.1007/Bf01232422  0.3
1990 Duke W, Schulze-Pillot R. Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Inventiones Mathematicae. 99: 49-57. DOI: 10.1007/Bf01234411  0.322
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