William Duke

William Duke

University of California, Los Angeles

H-index: 31

North America-United States

About William Duke

William Duke, With an exceptional h-index of 31 and a recent h-index of 18 (since 2020), a distinguished researcher at University of California, Los Angeles, specializes in the field of Number Theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the analytic theory of isotropic ternary quadratic forms

Non-convex geometry of numbers and continued fractions

Higher Rademacher Symbols

On elliptic curves and binary quartic forms

A Diophantine problem about Kummer surfaces

Some arithmetic applications of invariant theory

On a class number formula of Hurwitz

On a theorem of Davenport and Schmidt

William Duke Information

University

Position

Professor of Mathematics at

Citations(all)

4140

Citations(since 2020)

1349

Cited By

3514

hIndex(all)

31

hIndex(since 2020)

18

i10Index(all)

59

i10Index(since 2020)

37

Email

University Profile Page

University of California, Los Angeles

Google Scholar

View Google Scholar Profile

William Duke Skills & Research Interests

Number Theory

Top articles of William Duke

Title

Journal

Author(s)

Publication Date

On the analytic theory of isotropic ternary quadratic forms

Journal d'Analyse Mathématique

William Duke

Rainer Schulze-Pillot

2023/12

Non-convex geometry of numbers and continued fractions

Functiones et Approximatio Commentarii Mathematici

Nickolas Andersen

William Duke

Zach Hacking

Amy Woodall

2023/12

Higher Rademacher Symbols

Experimental Mathematics

W Duke

2023/7/7

On elliptic curves and binary quartic forms

International Mathematics Research Notices

W Duke

2022/12

A Diophantine problem about Kummer surfaces

Essential Number Theory

William Duke

2022/10/26

Some arithmetic applications of invariant theory

Proceedings-Mathematical Sciences

W Duke

2022/9/12

On a class number formula of Hurwitz

Journal of the European Mathematical Society

William Duke

Özlem Imamoglu

Árpad Tóth

2021/5/25

On a theorem of Davenport and Schmidt

Acta Arithmetica

Nickolas Andersen

William Duke

2021

The index of a modular differential operator

Pacific Journal of Mathematics

William Duke

2021/12/13

Central Difference

E Aarts

JK Lenstra

2021/8/22

The Minkowski chain and Diophantine approximation

Journal de théorie des nombres de Bordeaux

Nickolas Andersen

William Duke

2020

Asymptotic distribution of traces of singular moduli

arXiv preprint arXiv:2011.02064

Nickolas Andersen

William Duke

2020/11/3

Modular invariants for real quadratic fields and Kloosterman sums

Algebra & Number Theory

Nickolas Andersen

William D Duke

2020/7/30

Riesz means of certain arithmetic functions

Journal of Number Theory

William Duke

Ha Nam Nguyen

2020/5/1

See List of Professors in William Duke University(University of California, Los Angeles)

Co-Authors

H-index: 39
Zeev Rudnick

Zeev Rudnick

Tel Aviv University

H-index: 27
Stephan Ramon Garcia

Stephan Ramon Garcia

Pomona College

H-index: 13
Arpad Toth

Arpad Toth

Eötvös Loránd Tudományegyetem

H-index: 10
Paul Jenkins

Paul Jenkins

Brigham Young University

H-index: 9
Nickolas Andersen

Nickolas Andersen

Brigham Young University

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