William Duke

The title of this article is ambiguous. For the American actor and director of the same name, see Bill Duke (* 1943).

William Drexel Duke , called Bill Duke , (* 1958 ) is an American mathematician who deals with number theory (especially analytical number theory ).

Duke studied at the University of New Mexico with a bachelor's degree and received his doctorate in 1986 from New York University ( Courant Institute ) with Peter Sarnak ( Some problems in multidimensional analytic number theory ). He was a professor at Rutgers University and has been a professor at the University of California, Los Angeles since 2000 . In 1990 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ).

He deals specifically with the analytical theory of L-functions and automorphic forms.

Fonts

• Editor with Yuri Tschinkel : Analytic Number Theory - a tribute to Gauß and Dirichlet , American Mathematical Society 2007
• Some old problems and new results about quadratic forms, Notices AMS, February 1997, Online
• Hyperbolic distribution problems and half integral weight Maass forms, Inv. Math., 92, 1988, 73-90
• with John Friedlander , Iwaniec: Bounds on automorphic L-functions, 1,2, Inv. Math., 112, 1993, 1-8, and Inv. Math. 115, 1994, 219-239
• with Rainer Schulze-Pillot : Representations of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids, Inv. Math., 99, 1990, 49-57
• Continued fractions and modular functions, Bulletin AMS, Volume 42, 2005, pp. 137-162, online

Web links

• Homepage

Individual evidence

1. ↑ Career data according to the information in Duke, Kimberly Hopkins Quadratic reciprocity in a finite group , American Mathematical Monthly, Volume 112, 2005, 251-256
2. ^ Mathematics Genealogy Project