Andersen, Nickolas; Duke, William Asymptotic distribution of traces of singular moduli. (English) Zbl 1511.11044 Discrete Anal. 2022, Paper No. 4, 14 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11F37 11L05 11N37 PDFBibTeX XMLCite \textit{N. Andersen} and \textit{W. Duke}, Discrete Anal. 2022, Paper No. 4, 14 p. (2022; Zbl 1511.11044) Full Text: DOI arXiv
Duke, William The index of a modular differential operator. (English) Zbl 1479.11064 Pac. J. Math. 315, No. 1, 45-73 (2021). MSC: 11F11 34M03 PDFBibTeX XMLCite \textit{W. Duke}, Pac. J. Math. 315, No. 1, 45--73 (2021; Zbl 1479.11064) Full Text: DOI
Duke, William; Imamoḡlu, Özlem; Tóth, Árpad On a class number formula of Hurwitz. (English) Zbl 1495.11055 J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995-4008 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E41 11E16 11E45 11R42 11M36 13D40 PDFBibTeX XMLCite \textit{W. Duke} et al., J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995--4008 (2021; Zbl 1495.11055) Full Text: DOI
Andersen, Nickolas; Duke, William D. Modular invariants for real quadratic fields and Kloosterman sums. (English) Zbl 1469.11097 Algebra Number Theory 14, No. 6, 1537-1575 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11F37 11L05 PDFBibTeX XMLCite \textit{N. Andersen} and \textit{W. D. Duke}, Algebra Number Theory 14, No. 6, 1537--1575 (2020; Zbl 1469.11097) Full Text: DOI arXiv
Duke, William; Nguyen, Ha Nam Riesz means of certain arithmetic functions. (English) Zbl 1472.11266 J. Number Theory 210, 132-141 (2020). MSC: 11N60 11M06 PDFBibTeX XMLCite \textit{W. Duke} and \textit{H. N. Nguyen}, J. Number Theory 210, 132--141 (2020; Zbl 1472.11266) Full Text: DOI
Duke, W.; Imamoḡlu, Ö.; Tóth, Á. Kronecker’s first limit formula, revisited. (English) Zbl 1441.11085 Res. Math. Sci. 5, No. 2, Paper No. 20, 21 p. (2018). MSC: 11F11 11R29 11R11 11F37 PDFBibTeX XMLCite \textit{W. Duke} et al., Res. Math. Sci. 5, No. 2, Paper No. 20, 21 p. (2018; Zbl 1441.11085) Full Text: DOI
Duke, W.; Imamoḡlu, Ö.; Tóth, Á. Regularized inner products of modular functions. (English) Zbl 1418.11069 Ramanujan J. 41, No. 1-3, 13-29 (2016). MSC: 11F12 11F30 11F41 PDFBibTeX XMLCite \textit{W. Duke} et al., Ramanujan J. 41, No. 1--3, 13--29 (2016; Zbl 1418.11069) Full Text: DOI
Duke, W.; Imamoḡlu, Ö.; Tóth, Á. Geometric invariants for real quadratic fields. (English) Zbl 1372.11056 Ann. Math. (2) 184, No. 3, 949-990 (2016). Reviewer: James E. Carter (Charleston) MSC: 11F11 11R29 11F37 PDFBibTeX XMLCite \textit{W. Duke} et al., Ann. Math. (2) 184, No. 3, 949--990 (2016; Zbl 1372.11056) Full Text: DOI Link
Duke, W.; Li, Y. Harmonic Maass forms of weight 1. (English) Zbl 1414.11057 Duke Math. J. 164, No. 1, 39-113 (2015). Reviewer: Zhengyu Mao (Newark) MSC: 11F37 11F30 PDFBibTeX XMLCite \textit{W. Duke} and \textit{Y. Li}, Duke Math. J. 164, No. 1, 39--113 (2015; Zbl 1414.11057) Full Text: DOI Euclid
Duke, W.; Imamoḡlu, Ö.; Tóth, Á. Cycle integrals of the \(j\)-function and mock modular forms. (English) Zbl 1270.11044 Ann. Math. (2) 173, No. 2, 947-981 (2011). MSC: 11F30 11F37 PDFBibTeX XMLCite \textit{W. Duke} et al., Ann. Math. (2) 173, No. 2, 947--981 (2011; Zbl 1270.11044) Full Text: DOI