# Biao Wang

王标

**Email: bwang32@buffalo.edu **

I am a fifth-year graduate student at State University of New York at Buffalo interested in analytic
number theory. My advisor is Professor Xiaoqing
Li, and here is my CV.

**Publications and Preprints**

Here are my research profiles on arXiv and ORCID.
- Analogues of Alladi's formula. J. Number Theory (accepted, 2020). 15 pages. [DOI][arXiv].

- Ramanujan sum and Chebotarev densities. Ramanujan J. (accepted, 2020). 7 pages. [DOI][arXiv].

- An analogue of a formula for Chebotarev densities. Int. J. Number Theory (accepted, 2020), 9 pages. [DOI][arXiv].

**Slides and Notes**

Talk Slides:
- Analogues of Alladi's formula: Slides.

- Some arithmetic functions and Chebatorev densities: Slides.

- Some Equivalents of Riemann Hypothesis: Slides.

Lecture and Expository Notes:
- Brun's theorem on twin primes. Lecture Notes: Student Version and Mentor Version. These are the lecture notes for the Directed Undergraduate Reading Program 19' Fall at UB.

- Average ratio of the smallest and largest prime divisor of integers: [arXiv].

- Reading notes on converse theorems of Cogdell and Piateski-Shapiro: GL(4) and GL(n).

- 2018 Fall courses notes: Automorphic Forms. Instructor: Xiaoqing Li.

- 2016 Fall courses notes: Modular Forms. Instructor: Xiaoqing Li. References: Notes on "The Quantum Unique Ergodicity for Holomorphic Cusp Forms after Holowinsky and Soundararajan", Rutgers lectures, April 2010, available upon request.

------------------Useful Links----------------------

- Number Theory in Arxiv.

- Number Theory Conferences.

- Browse talks.
- NSF-MSI Videos.
- Ravi Vakil's Three Things Exercise.

- LMFDB,
*the database of L-functions, modular forms, and related objects*.