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Hengcai Tang



NameHengcai Tang

TitleAssociate Professor

OfficeXXX

Email hctang@henu.edu.cn


Research FieldNumber 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 applicationsNational 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





 

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