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个人信息Personal Information
教授 博士生导师 硕士生导师
性别:男
毕业院校:山东大学
学历:研究生(博士)毕业
学位:理学博士学位
在职信息:在职
所在单位:数据科学研究院
入职时间:2019-08-30
学科:基础数学
办公地点:明德楼C701
联系方式:(0531) 883 69786
模形式基础 2025
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Spring 2025, Jinan
Time and Place:
Thursday 09:00-12:00, 逸夫信息楼 A403.
Instructors:
Bingrong Huang, Guanghua Ji, Yongxiao Lin, Guangshi Lü, and Zhao Xu
Prerequisites:
Basic Analytic Number Theory and Complex Analysis.
Syllabus:
We plan to give lectures on modular forms in this semester. We will use the following book:
[I] Iwaniec, Henryk. Topics in classical automorphic forms. Graduate Studies in Mathematics, 17. American Mathematical Society, Providence, RI, 1997. xii+259 pp.
See also:
[Serre] Serre, J.-P. A course in arithmetic. Translated from the French. Graduate Texts in Mathematics, No. 7. Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp.
[Bump] Bump, Daniel. Automorphic forms and representations. Cambridge Studies in Advanced Mathematics, 55. Cambridge University Press, Cambridge, 1997. xiv+574 pp. 第一章
[Sarnak] Sarnak, Peter. Some applications of modular forms. Cambridge Tracts in Mathematics, 99. Cambridge University Press, Cambridge, 1990. x+111 pp.
Schedule:
Date | Speaker | Title | References |
February 20 | H | Modular forms | [I] Chapter 1 |
February 27 | H | Eisenstein series | [I] Chapter 1 |
March 06 | H | Fuchsian groups | [I] Chapter 2 |
March 13 | H | Classical automorphic forms | [I] Chapter 2 |
March 20 | Lin | Eisenstein & Poincare series | [I] Chapter 3 |
March 27 | Lin | Kloosterman sums | [I] Chapter 4 |
April 03 | Lin | Fourier coefficients | [I] Chapter 5 |
April 10 | Lü | Hecke operators | [I] Chapter 6 |
April 17 | Lü | Hecke operators | [I] Chapter 6 |
April 24 | Lü | L-functions | [I] Chapter 7 |
May 01 | No Lecture (Labor Day) | ||
May 08 | Xu | [I] Chapter 8 | |
May 15 | Xu | [I] Chapter 9 | |
May 22 | Xu | [I] Chapter 10 | |
May 29 | Ji | [I] Chapter 11 | |
June 05 | Ji | [I] Chapter 12 | |
June 12 | Ji | [I] Chapter 13 | |
June 19 |
Contact:
Bingrong Huang (Email: brhuang (AT) sdu.edu.cn; Office: Mingde Building C701)