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廖文欽 副教授

Wen-Chin Liaw

office: Room 441

Phone: (05)2720411#66126

Fax: (05)2720497

Email:  wcliaw@ccu.edu.tw / wenchinliaw@gmail.com

研究領域

  • 數論 

學歷

  • 美國伊利諾大學香檳分校數學博士 (1992/08 ~ 1999/08)
  • 國立中央大學數學碩士 (1988/09 ~ 1990/06)
  • 國立中央大學數學學士 (1984/08 ~ 1988/06)

經歷

  • 國立中正大學 數學系 副教授 (2007/08 ~ 迄今)
  • 國立中正大學 數學系 助理教授 (1999/08 ~ 2007/07)

學術著作

期刊論文

1. Eie, MK; Liaw, WC; Ong, YL (2020). A decomposition of $\zeta(2n+3)$ into sums of multiple zeta values. Rocky Mountain Journal of Mathematics, 50(2), pp. 551–558.

2. Eie, Minking; Liaw, Wen-Chin (2018). Duals of restricted sum of multiple zeta values. Journal of Number Theory, Accepted.

3. Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin (2017). Several weighted sum formulas of multiple zeta values. Journal of Number Theory, 13(9), pp. 2253–2264.

4. Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin (2016). The decomposition theorem of the products of multiple zeta values of height one. Journal of Number Theory, 12(1), pp. 15–25.

5. Chung, Chan-Liang; Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin (2015). Decomposition of Products of Riemann Zeta Values. Journal of Number Theory, 150, pp. 1–20.

6. Eie, Minking; Liaw, Wen-Chin; Wei, Chuan-Sheng (2015). Double weighted sum formulas of multiple zeta values. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 85(1), pp. 23–41.

7. Ong, Yao Lin; Eie, Minking; Liaw, Wen-Chin (2013). On generalizations of weighted sum formulas of multiple zeta values. Journal of Number Theory, 9(5), pp. 1185–1198.

8. Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin (2010). Cranks—really, the final problem. Ramanujan Journal, 23(1-3), pp. 3–15.

9. Eie, Minking; Liaw, Wen-Chin (2009). Double Euler sums on Hurwitz zeta functions. Rocky Mountain Journal of Mathematics, 39(2), pp. 1869–1883.

10. Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin (2009). Euler sums on arithmetic progressions. New Zealand Journal of Mathematics, 39, pp. 1–17.

11. Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin (2009). A restricted sum formula among multiple zeta values. Journal of Number Theory, 129(4), pp. 908–921.

12. Ong, Yao Lin; Eie, Minking; Liaw, W.-C. (2008). Explicit evaluation of triple Euler sums. Journal of Number Theory, 4(3), pp. 437–451.

13. Chan, Heng Huat; Cooper, Shaun; Liaw, Wen-Chin (2008). An odd square as a sum of an odd number of odd squares. Acta Arithmetica, 132(4), pp. 359–371.

14. Liaw, Wen-Chin; Chan, H. H.; Cooper, S. (2008). On $\eta^3(a\tau)\eta^3(b\tau)$ with $a+b=8$. Journal of the Australian Mathematical Society.

15. Liaw, Wen-Chin; Chan, H. H.; Cooper, S. (2007). The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$. Proceedings of the American Mathematical Society, 135, pp. 3417–3424.

16. Liaw, Wen-Chin (2007). New relations among Euler sums of even weight. Tamkang Journal of Mathematics, 38, pp. 21–36.

17. Eie, Minking; Liaw, Wen-Chin (2007). Euler sums with Dirichlet characters. Acta Arithmetica, 130, pp. 99–125.

18. Liaw, Wen-Chin; Eie, M.; Yang, F.-Y. (2005). On evaluations of generalized Euler sums of even weight. International Journal of Number Theory, 1(2), pp. 225–242.

19. Liaw, Wen-Chin; Berndt, B. C.; Chan, H. H.; Chan, S. H. (2005). Cranks and dissections in Ramanujan's Lost Notebook. Journal of Combinatorial Theory, Series A, 109, pp. 91–120.

20. Liaw, Wen-Chin; Berndt, B. C.; Chan, H. H.; Chan, S. H. (2005). Ramanujan and cranks. Developments in Mathematics, 13, pp. 77–98.

21. Liaw, Wen-Chin; Berndt, B. C.; Chan, H. H. (2001). On Ramanujan's quartic theory of elliptic functions. Journal of Number Theory, 88, pp. 129–156.

22. Liaw, Wen-Chin; Chan, H. H.; Tan, V. (2001). Ramanujan's class invariant $\lambda_n$ and a new class of series for $1/\pi$. Journal of the London Mathematical Society, 64(2), pp. 93–106.

23. Liaw, Wen-Chin; Chan, H. H. (2000). Cubic modular equations and new Ramanujan-type series for $1/\pi$. Pacific Journal of Mathematics, 192, pp. 219–238.

24. Liaw, Wen-Chin; Chan, H. H. (2000). On Russell-type modular equations. Canadian Journal of Mathematics, 52, pp. 31–46.

25. Liaw, Wen-Chin (1999). Note on the monotonicity of coefficients for some q-series arising from Ramanujan's Lost Notebook. Ramanujan Journal, 3, pp. 385–388.

專題研究計畫

  1. 多重尤拉和的和公式及對偶. 96-2115-M-194-006-. Project Period: 2007/08/01~2008/07/31.
  2. 多重zeta值, 調和代數與洗牌代數. 97-2115-M-194-007-. Project Period: 2008/08/01~2009/07/31.
  3. 多重zeta值與洗牌關係式. 98-2115-M-194-007-. Project Period: 2009/08/01~2010/07/31.
  4. 加權和公式與洗牌關係式. 99-2115-M-194-005-. Project Period: 2010/08/01~2011/07/31.
  5. 多重zeta值的導算子關係與洗牌關係式. 100-2115-M-194-008-. Project Period: 2011/08/01~2012/07/31.
  6. 多重zeta值與多重zeta-星值. 101-2115-M-194-010-. Project Period: 2012/08/01~2013/07/31.
  7. 多重zeta值與多重zeta-星值的二一公式. 103-2115-M-194-006-. Project Period: 2014/08/01~2015/07/31.
  8. 圓周率之拉馬努江型級數. 105-2115-M-194-010-. Project Period: 2016/08/01~2017/10/31.
  9. 偶數引數的多重zeta值. 106-2115-M-194-004-. Project Period: 2017/08/01~2018/10/31.
  10. 多重zeta值與多重zeta-星值的分解. 107-2115-M-194-010 -. Project Period: 2018/08/01~2019/10/31.

 

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