Name:Shi-Chao Chen
Title:professor
Office: 02
Email: schen@henu.edu.cn
Research Field:number theory, modular forms and partitions
Education:
2002.09-2007.06, Ph.D.,Nanjing Normal University
1998.09-2002.06, Bachelor of Science, Xinyang Normal University
Position:
2018.05-,Henan University, Professor
2015.03-2016.03 Kennesaw state university, Visiting scholar
2012.06-2018.05, Henan University, Associate professor
2007.10-2012.06, Henan University, Lecturer
2007.07-2007.10, Henan University, Assistant professor
Selected publications:
1. Shi-Chao Chen, On the density of the odd values of the partition function and the t-multipartition function, J. Number Theory 225 (2021) 198–213.
2. Shi-Chao Chen, Parity of Schur’s partition function, C. R. Acad. Sci. Paris, 357(2019) 418–423
3. Shi-Chao Chen, Vanishing of the coefficients of a half Lerch sum, Int. J. Number Theory, Vol. 15, No.2 (2019) 251-263.
4. Shi-Chao Chen, Odd values of the Rogers–Ramanujan functions, C. R. Acad. Sci. Paris, Ser. I 356 (2018) 1081–1084.
5. Shi-Chao Chen, Periodicity of A Partition Function Related to Making Change Modulo Prime Powers, Ars Combin. 132 (2017), 193-201.
6. Zhu Cao and Shi-Chao Chen, On generalized Schur’s partitions, Int. J. Number Theory Vol. 13, No. 6 (2017) 1381–1391.
7. Shi-Chao Chen, Congruences and asymptotics of Andrews’ singular overpartitions,
J. Number Theory, 164 (2016), 343–358.
8. Shi-Chao Chen, M. Hirschhorn and J. Sellers, Arithmetic properties of Andrews singular
overpartitions, Int. J. Number Theory, Vol. 11, No. 5 (2015) 1463–1476.
9. Shi-Chao Chen, On the number of overpartitions into odd parts, Discrete Math.,
325(2014), 32-37.
10. Shi-Chao Chen, On the coefficients of an eigenform, J. Number Theory, 137 (2014), 160-165.
11. Shi-Chao Chen, Congruences for a certain partition function, Ann. Comb., 18(2014), 607-615.
12. Shi-Chao Chen, Ramanujan-type congruences for certain generating functions, Lith. Math. J., 53 ( 2013), 381-390.
13. Shi-Chao Chen, Congruences for t-core partition functions, J. Number Theory,
133 (2013), 4036-4046.
14. Shi-Chao Chen, Congruences for the number of ktuple partitions with distinct even parts, Discrete Math., 313 (2013) 1565-1568.
15. Shi-Chao Chen and Hao Luo, Odd multiperfect numbers, Bull. Aust. Math. Soc.,
88(2013), 56-63.
16. Shi-Chao Chen, Distribution of the coefficients of modular forms and the partition function, Arch. Math., 98 (2012), 307-315.
17. Shi-Chao Chen and Yingtao Che, On a restricted m-ary partition function, Chin. Quart. J. of Math., 27 (2), (2012), 165-168.
18. Shi-Chao Chen, On the number of partitions with distinct even parts, Discrete Math.,
311(2011), 940-943.
19. Shi-Chao Chen and Hao Luo, Bounds for odd k perfect numbers, Bull. Aust. Math. Soc.,
84(2011), 475-480 .
20. Shi-Chao Chen, Congruences for r_s(n) , J. Number Theory, 130(2010), 2028-2032.
21. Shi-Chao Chen, Congruences for overpartition k-tuples, INTEGERS, 10(2010), A40, 477-484.
22. Shi-Chao Chen, Arithmetical properties of the number of t-core partitions, Ramanujan J., 18(2009) 103-112.
23. Shi-Chao Chen and Yong-Gao Chen, On the average of the sum-of-a-divisors function, Colloq. Math., 100 (2004), 103-109.
Research Funding:
1. Arithmetic of modular forms and their applications in combinatorics,National Natural Science Foundation of China(11771121),2018.01-2021.12,PI
2. Modular forms and partitions, GGJS of Henan province, (2016GGJS-022), 2017.01-2019.12, PI
3. Arithmetical applications of modular forms, National Natural Science Foundation of China(11101123),2012.01-2014.12,PI
4. Partitions and congruences, National Natural Science Foundation of China(11026080),2011.01-2011.12,PI
5. Some problems in additive combinatorics, National Natural Science Foundation of Henan province,( 2009A110001), 2009.01-2011.12, PI
6. Arithmetic of modular forms and their applications, YQPY of Henan University (yqpy20140038), 2014.01-2018.12
Teaching:
Elementary number theory, Combinatorics, Abstract algebra, Linear algebra, Calculus