William Duke
Algebra and Number Theory · 2000–2011
A researcher in the Science corpus: 8 papers; trusts 9 researchers and is trusted by 23 researchers here, as inferred from the citation graph.
Subfields
- Algebra and Number Theory — 21 citations into it; #218 of 2,864 by trust here, #177 by citations
- Mathematical Physics — 20 citations into it; #2,117 of 8,562 by trust here, #1,355 by citations
- Geometry and Topology — 12 citations into it; #1,187 of 7,422 by trust here, #1,203 by citations
Whom William Duke trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Don Zagier
- Jan H. Bruinier
- Jens Funke
- Ken Ichi Ono
- Dinakar Ramakrishnan
- Henryk Iwaniec
- Bruce C. Berndt
- Henri Darmon
- John B. Friedlander
- Sander Zwegers
Who trusts William Duke overall
- Gergely Harcos
- V. Blomer
- P. Michel
- M. Young
- Ken Ichi Ono
- Jan H. Bruinier
- Xiaoqing Li
- P. Jenkins
- Emmanuel Kowalski
- Ö. Imamoḡlu
Papers from William Duke's perspective
Ordered by how strongly the researchers William Duke trusts endorse each paper. Same corpus, a different order for every researcher.
- Traces of singular moduli
- Traces of CM values of modular functions
- Heegner points on
- The web of modularity : arithmetic of the coefficients of modular forms and q-series
- Modular functions and the uniform distribution of CM points
- Heegner Divisors and Nonholomorphic Modular Forms (Compositio Mathematica)
- On two geometric theta lifts
- Mock Theta Functions
- Unearthing the visions of a master: harmonic Maass forms and number theory
- Heegner divisors, $L$-functions and harmonic weak Maass forms
Their papers
- Cycle integrals of the j-function and mock modular forms (2011) — 150 citations
- On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms (2008) — 131 citations
- Integral traces of singular values of weak Maass forms (2008) — 59 citations
- Modular functions and the uniform distribution of CM points (2006) — 58 citations
- The subconvexity problem for Artin L–functions (2002) — 204 citations
- Bounds for automorphic L–functions. III (2001) — 66 citations
- Erratum to: Bounds for automorphic L–functions. II (2000) — 58 citations
- A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations (2000) — 139 citations