Name:Hengcai Tang
Title:Associate Professor
Office:XXX
Email: hctang@henu.edu.cn
Research Field:Number Theory
Education:
2005. 09-2010. 07, Ph.D., Shandong University
2001. 09-2005. 07, Bachelor of Science, Qufu Normal University
Position:
2016. 04-2021.09, Henan University, Associate professor
2019. 08-2020. 08, HongKong University, Visiting Scholar
2010. 09-2016. 04, Henan University, Lecturer
2014 08-2015. 08, Lorraine University, Visiting Scholar
Selected publications:
[1] H. C. Tang, A note on Titchmarsh divisor problem under the generalized Riemann Hypothesis, Rocky Mountain J. Math., 50 (2020), 2223-2233.
[2] H. C. Tang, Shifted convolution sum of d3and the Fourier coefficient of Hecke-Maass forms II,Bull. Australian Math. Soc., 101 (2020), 401-414.
[3] H. C. Tang & X. X. Xiao, Values of automorphic L-functions with prime level at point s=1, Ramanujan J., 43 (2017), 551–569.
[4] H. C. Tang & X. X. Xiao, Integral moments of automorphic L-function, Int. J. Number Theory, 12 (2016), 1827–1843.
[5] H. C. Tang & Y. N. Wang, Quantitative versions of the joint distributions of Hecke eigenvalue, J. Number Theory, 169 (2016), 295–314.
[6] H. C. Tang & J. Wu, Fourier coefficients of symmetric power L-functions, J. Number Theory, 167 (2016), 147–160.
[7] H. C. Tang, Shifted convolution sum of d3and the Fourier coefficient of Hecke-Maass forms,Bull. Australian Math. Soc., 92 (2015), 195–204.
[8] G. S. Lü & H. C. Tang, Sums of Fourier coefficients related to Hecke eigencusp forms,Ramanujan J., 37 (2015), 309–327.
[9] H. C. Tang, Estimates for the Fourier coefficients of symmetric square L-functions, Archivder Math., 100 (2013), 123–130.
[10] H. C. Tang, Lower bound for the higher moment of symmetric square L-functions, J. NumberTheory, 133 (2013), 2143–2152.
[11] H. C. Tang, A note on the Fourier coefficients of Hecke-Maass forms, J. Number Theory, 133(2013), 1156–1167.
[12] H. C. Tang, Central values of the symmetric square L-functions related to Maass forms,Science in China, 42 (2012), 1213–1224 (in Chinese).
Research Funding:
1. The mean value estimate of Fourier coefficients of cusp forms and its applications,National Natural Science Foundation of China(11871193),2019. 01-2022. 12, PI
2. The moment of the symmetric square L-functions and its applications, National Natural Science Foundation of China(11301142),2014. 01-2016. 12, PI
Teaching:
Mathematical Analysis, Elementary Number Theory, Complex Analysis