叶东曦

数学学院 副教授



电子邮件
yedx3@mail.sysu.edu.cn



教育经历：
2014.07—2018.05 美国威斯康辛大学麦迪逊分校（University of Wisconsin-Madison），数学系，基础数学，博士。导师：Prof. Tonghai Yang (杨同海)
2011.01—2014.02 新西兰梅西大学（Massey University），数学专业，一级荣誉学士。导师：Prof. Shaun Cooper
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工作经历：
2018.07—至今 中山大学，数学学院（珠海），副教授。
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联系方式：
yedx3@mail.sysu.edu.cn?
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研究方向：
数论，模形式理论，Borcherds提升理论。
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科研项目：
1.??? 国家自然科学基金青年项目，**，与Borcherds提升相关的若干数论课题研究，2020/01-2022/12，在研，主持。
2.??? 广东省自然科学基金面上项目，2019A，Ramanujan非传统基椭圆函数理论的研究与推广，2019/10-2022/09，在研，主持。
3.??? 中山大学高校基本科研业务费，19lgpy244，关于Yui-Zagier猜想的研究，2019/01-2021/12，在研，主持。
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已发表论文：
1.D. Ye, Difference of a Hauptmodul for Gamma0(N) and certain Gross-Zagier type CM value formulas, Science China Mathematics (2021).
2.D. Ye, Ramanujan’s function k, revisited, The Ramanujan Journal (2021),?https://doi.org/10.1007/s11139-020-00367-7
3.Q. He and D. Ye, On conjectures of Samart, manuscripta mathematica (2021),?https://doi.org/10.1007/s00229-021-01279-6
4.D. Ye, Proof of a conjecture of Cooper, Journal of Number Theory, 222 (2021), 38-47.
5.D. Ye, A remark on the average number of divisors of a quadratic polynomial, Archiv der Mathemtik, 161 (2021), 49-59.
6.T. Huber and D. Ye, Ramanujan type congruences for quotients of level 7 Klein forms, Journal of Number Theory, 222 (2021), 181-203.
7.D. Ye, On a conjecture of Chen and Yui: Resultants and discriminants, Canadian Journal of Mathematics, (2020)?https://doi.org/10.4153/S**X**
8.D. Ye, Revisiting the Gross–Zagier discriminant formula. Mathematische Nachrichten, 293 (2020), 1801-1826.
9.D. Ye, Revisiting the average number of divisors of a quadratic polynomial, Monatshefte fur Mathematik, 192 (2020), 465--478.
10.D. Ye, On a zeta function associated to a quadratic order, Results in Mathematics, 75:27 (2020).
11.T. Huber, D. Schultz and D. Ye, Level 17 Ramanujan--Sato series, The Ramanujan Journal, 52 (2020), 303--322.
12.D. Ye and J. Zhang, Twisted Borcherds products associated to genus zero \Gamma_0(N), Bulletin of the Malaysian Mathematical Sciences Society, 43 (2020), 253-265.
13.A. K. Singh and D. Ye, Ramanujan{Mordell type formulas associated to certain quadratic forms of discriminant 20^k or 32^k, Indian Journal of Pure and Applied Mathematics, 51 (2020), 1083-1096.
14.D. Ye, On the generating function of a canonical basis for M_{0}^{!}(\Gamma), Results in Mathematics, 74 (2), 2019.
15.D. Ye, Gross-Zagier type CM value formulas on X_{0}^{*}(p), Journal of Number Theory, 196 (2019), 14-34.
16.D. Ye, On two families of modular subgroups, Journal of Number Theory, 199 (2019), 289-309.
17.B. Hu and D. Ye, Sign-change of the Fourier coefficients of a Hauptmodul for Gamma0(2), International Journal of Number Theory, 14 (2018), 2268-2276.
18.T. Huber, D. Schultz and D. Ye, Series for 1/pi of level 20, Journal of Number Theory, 188 (2018), 121--136.
19.T. Yang and D. Ye, Weakly holomorphic modular forms on \Gamma_{0}(4) and Borcherds products on unitary group U(2,1), Research in Number Theory, 4 (2018), no. 2.
20.D. Ye, Representations of integers by certain 2k-ary quadratic forms, Journal of Number Theory, 179 (2017), 50--64.
21.S. Cooper, B. Kane and D. Ye, Analogues of the Ramanujan--Mordell Theorem, Journal of Mathematical Analysis and Applications, 446 (2017), 568--579.
22.D. Ye, On the quaternary form $x^{2}+xy+7y^{2}+t^{2}+zt+7z^{2}$, International Journal of Number Theory, 12 (2016), 1791--1800.
23.S. Cooper and D. Ye, Level 14 and 15 analogues of Ramanujan's elliptic functions to alternative bases, Transactions of the American Mathematical Society, 368 (2016), 7883--7910.
24.S. Cooper and D. Ye, The level 12 analogue of Ramanujan's function k, Journal of the Australian Mathematical Society, 101 (2016), 29--53.
25.D. Ye, Level 16 analogue of Ramanujan's theories of elliptic functions to alternative bases, Journal of Number Theory, 164 (2016), 191--207.
26.D. Ye, Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients, International Journal of Number Theory, 11 (2015), 1073--1088.
27.S. Cooper and D. Ye, The Rogers-Ramanujan continued fraction and its level 13 analogue, Journal of Approximation Theory, 193 (2015), 99-127.
28.S. Cooper, J. Ge and D. Ye, Hypergeometric transformation formulas of degrees 3, 7, 11 and 23, Journal of Mathematical Analysis and Applications, 421 (2015), 1358--1376.
29.S. Cooper and D. Ye, Eisenstein series to the tredecic base, Bulletin of the Australian Mathematical Society, 91 (2015), 19--28.
30.D. Ye, Evaluation of the convolution sums \sum_{l+36m=n}\sigma(l)\sigma(m) and \sum_{4l+9m=n}\sigma(l)\sigma(m), International Journal of Number Theory, 11 (2015), 171--183.
31.S. Cooper and D. Ye, Evaluation of the convolution sums \sum_{l+20m=n}\sigma(l)\sigma(m), \sum_{4l+5m=n}\sigma(l)\sigma(m) and \sum_{2l+5m=n}\sigma(l)\sigma(m), International Journal of Number Theory, 10 (2014),? ? ? ? 1385--1394.
32.S. Cooper and D. Ye, Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction, Journal of Number Theory, 139 (2014), 91--111.
33.S. Cooper, H. Y. Lam and D. Ye, Representations of squares by certain quinary quadratic forms, Acta Arithmetica, 157 (2013), 147--168.