黄炳荣

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：

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L-函数 2023

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L-functions

Spring 2023, Jinan

Time and Place:

Wednesday 10:10-12:00, Math Building 204.

Prerequisites:

Basic Analytic Number Theory and Automorphic Forms.

Syllabus:

This is a reading course. We plan to read the following chapters and papers in this semester.

[Iw02] Iwaniec, H. Spectral methods of automorphic forms. Second edition. Graduate Studies in Mathematics, 53. American Mathematical Society, Providence, RI; Revista Matemática Iberoamericana, Madrid, 2002. xii+220 pp. Chapters 11-13.

[CI00] Conrey, J. B.; Iwaniec, H. The cubic moment of central values of automorphic L-functions. Ann. of Math. (2) 151 (2000), no. 3, 1175–1216.

[PY20] Petrow, I.; Young, Matthew P. The Weyl bound for Dirichlet L-functions of cube-free conductor. Ann. of Math. (2) 192 (2020), no. 2, 437–486.

Schedule:

Date	Speaker	Title	References
February 15	Liangxun Li	The distribution of eigenvalues, I	[Iw02, Chap. 11]
February 22	Jinzhi Feng	The distribution of eigenvalues, II	[Iw02, Chap. 11]
March 1	Meijie Lu	Hyperbolic lattice point problems	[Iw02, Chap. 12]
March 8	Shu Luo	Spectral bounds for cusp forms	[Iw02, Chap. 13]
March 15	Bingrong Huang	Introduction	[CI00]
March 22	Liangxun Li	Automorphic forms and L-functions	[CI00] §2-7
March 29	Liangxun Li	Estimation of the c ubic moments	[CI00] §9-10
April 5	Qingming Festival
April 12	Liangxun Li	Separation of variables	[CI00] §8
April 19	Liangxun Li	Bilinear forms	[CI00] §11-12
April 26	Liangxun Li	Estimation of the character sums	[CI00] §13-14
May 03	Labor Day
May 10	Shu Luo	Sect. 1	[PY20]
May 17	Jinzhi Feng	Sect. 2-4	[PY20]
May 24	Zhenyu Zhang	Sect. 5-8	[PY20]
May 31	Shenghao Hua	Sect. 9	[PY20]
June 07	Shenghao Hua		[PY20]
June 14	Meijie Lu

Contact: Bingrong Huang (Email: brhuang@sdu.edu.cn; Office: Mingde Building C701)

Course homepage: https://faculty.sdu.edu.cn/brhuang/zh_CN/zdylm/1592228/list/index.htm