陳光武教授
陳光武教授 Kwang-Wu Chen
最高學歷：國立中正大學應用數學所博士
學術專長：代數、數論
開課名稱：線性代數、微積分、代數學
Office Hour：教授休假研究
聯絡電話：(02)2311-3040 轉分機 1904
E-mail信箱：kwchen@uTaipei.edu.tw
開課資訊：
【獲獎情形】
NSTC Research Award: 2022, 2023, 2024.
Excellent Mentor Award: 2008, 2010, 2020.
Excellence in Teaching Award: 2013.
Academic Research Award: 2015, 2016, 2017, 2019, 2021, 2023, 2024.
【論文著作】
（一）期刊論文
1.K.-W. Chen, C.-H. Liu, 2025.07, Continued fractions with quadratic numerators via the Bauer-Muir transform, Mathematics, 13 (15), 2332.
https://doi.org/10.3390/math13152332. (SCIE)
2.J. Campbell, K.-W. Chen, 2025.02, Applications of Nörlund’s formula and linear forms for continued fractions, Indian Journal of Pure and
Applied Mathematics, 1–7. (SCIE)
3.K.-W. Chen, 2025.01, Hypergeometric series and generalized harmonic numbers, J. Differ. Equ. and Appl. 31 (1), 85--114. (SCIE).
4.K.-W. Chen, M. Eie, Y. L. Ong, 2024.10, Some symmetry and duality theorems on multiple zeta(-star) values, Mathematics 12 (20), 3292.
(SCIE) .
5.K.-W. Chen, 2024.08, On general alternating Tornheim-type double series, Mathematics 12 (17), 2621. (SCIE).
6.K.-W. Chen, 2024.06., On some general Tornheim type series, Mathematics, 2024, 12 (12), 1868. doi: 10.3390/math12121867. (SCIE)
7.K.-W. Chen, F.-Y. Yang, 2024.05., Infinite series involving harmonic numbers and reciprocal of binomial coefficients,
AIMS Mathematics, 9 (7): 16885–16900. doi: 10.3934/math.2024820. (SCIE)
8.K.-W. Chen, 2023.07., Some double q-series by telescoping, Mathematics, 11 (13), Article: 2949, 1--10. doi: 10.3390/math11132949. (SCIE)
9.K.-W. Chen, M. Eie, 2023.06., On Three General Forms of Multiple Zeta(-star) Values, Expo. Math. 41 (2), 299--315,
doi: 10.1016/j.exmath.2023.02.003. (SCIE)
10.K.-W. Chen, M. Eie, 2023.03., Weighted Sum Formulas from Shuffle Products of Multiple Zeta-Star Values, Bull. Malays.
Math. Sci. Soc. 46 (2), 50 (2023), doi: 10.1007/s40840-022-01446-2. (SCIE)
11.K.-W. Chen, M. Eie, 2022.12., On the convolutions of sums of multiple zeta(-star) values of height one, Ramanujan J. 59, 1197–1223,
doi: 10.1007/s11139-022-00628-7. (SCIE)
12.K.-W. Chen, 2022.10., Sum relations from shuffle products of alternating multiple zeta values, Mediterr. J. Math. 19, 206 (2022).14 pages.
doi: 10.1007/s00009-022-02143-x. (SCIE)
13.J. M. Campbell, K.-W. Chen, 2022.09., Explicit identities for infinite families of series involving squared binomial coefficients, J. Math.
Anal. Appl., 513 (2), 126219, 23 pages, DOI: 10.1016/j.jmaa.2022.126219. MOST 109-2115-M-845-001. (SCIE)
14.K.-W. Chen, 2022.06., Median Bernoulli numbers and Ramanujan's harmonic number expansion, Mathematics, 10 (12),
Article: 2033, 1-10. DOI: 10.3390/math10122033. (SCIE)
15.N. Batir, K.-W. Chen, 2022.02., Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and
harmonic numbers, J. Differ. Equ. Appl., 28 (2), 222--243, DOI: 10.1080/10236198.2022.2037578. (SCIE)
16.J. M. Campbell, K.-W. Chen, 2021.11., An integration technique for evaluating quadratic harmonic sums,
Aust. J. Math. Anal. Appl. 18 (2), art. 15, 19 pp. (Scopus)
17.K.-W. Chen, 2021.09., Clausen’s Series 3F2(1) with Integral Parameter Differences, Symmetry, 13 (10), 1783, 1–19,
doi: 10.3390/sym13101783. (SCIE)
18.K.-W. Chen, M. Eie, 2021.06., Gamma functions and sum formulas of multiple zeta values, J. Ramanujan Math.
Soc. 36 (2), 93–107. (SCIE)
19.K.-W. Chen, 2021.06., Explicit formulas for some infinite 3F2(1)-series, Axioms, 10 (2), 125, 1–11, doi: 10.3390/axioms10020125.
MOST 109-2115-M-845-001. (SCIE)
20.K.-W. Chen, 2020.11., Horadam sequences and tridiagonal determinants, Symmetry, 12(12), 1968, 1–19, doi: 10.3390/sym12121968.
MOST 108-2115-M-845-001. (SCIE)
21.K.-W. Chen, 2020.10., Generalized harmonic number sums and quasisymmetric functions, Rocky Mountain J. Math., 50 (4), 1253–1275,
doi: 10.1216/rmj.2020.50.1253. MOST107-2115-M-845-003. (SCIE)
22.K.-W. Chen, Y.-H. Chen, 2020.07., Infinite series containing generalized harmonic functions, Notes on Number Theory and
Discrete Mathematics, 26 (2), 85–104, doi: 10.7546/nntdm.2020.26.2.85-104. MOST 107-2115-M-845-003.
23.K.-W. Chen, Y.-R. Pan, 2020.06., Greatest common divisors of shifted Horadam sequences, MOST 107CFA9600025,
J. Integer Seq., 23, Article 20.5.8. 1–20.
24.N. Batir, K.-W. Chen, 2019.04., Finite Hurwitz-Lerch Functions, Filomat, 33 (1), 101--109. DOI: 10.2298/FIL1901101B. (SCIE)
25.K.-W. Chen, 2019.04., Generalized Arakawa-Kaneko zeta functions, Integral Transforms Spec. Funct., 30 (4), 282--300.
DOI:10.1080/10652469.2018.1562450. (SCIE)
26.K.-W. Chen, 2019.03., Delannoy numbers and preferential arrangements, Mathematics, 7 (3), Article: 238, 1--9.
DOI:10.3390/math7030238. (SCIE, 2018-IF:1.105)
27.K.-W. Chen, C.-L. Chung, M. Eie, 2017.08., Sum Formulas of Multiple Zeta Values with Arguments Multiples of a Common
Positive Integer, J. Number Theory, vol. 177, 479–496. (SCI).
28.K.-W. Chen, C.-L. Chung, 2017.06., Sum relations of multiple zeta star values with even arguments, Mediterr. J. Math., vol. 14 (3),
Article: 110, 1–13. (SCIE, 2015-IF: 0.605).
29.K.-W. Chen, 2017.03., Generalized Harmonic Numbers and Euler Sums, Int. J. Number Theory, vol. 13, no. 2, 513–528. (SCIE).
30.K.-W. Chen, C.-L. Chung, M. Eie, 2016.06., Combinatorial Implications of Decomposition Theorems of Multiple Zeta Values,
J. Comb. Number Theory, vol. 7, no. 2, 111–129.
31.K.-W. Chen, C.-L. Chung, M. Eie, 2016.01., Sum formulas and duality theorems of multiple zeta values, J. Number Theory,
vol. 158, 33–53. (SCI).
32.K.-W. Chen, 2015.08., Applications of Stuffle Product of Multiple Zeta Values, J. Number Theory, vol. 153, 107–116. (SCI).
33.K.-W. Chen, 2012.08., Extensions of an Amazing Identity of Ramanujan, The Fibonacci Q., vol. 50, no. 3, 227–230.
34.K.-W. Chen, 2011.03., Greatest Common Divisors in Shifted Fibonacci Sequences, Article 11.4.7, J. Integer Seq., vol. 14, 1–8.
35.K.-W. Chen, 2007.12., Inversion of Generating Functions using Determinants, Article 07.10.5, J. Integer Seq., vol. 10, 1–10.
NSC 96-2115-M-133-002.
36.K.-W. Chen, 2007.05., Identities from the Binomial Transform, J. of Number Theory, vol. 124, no. 1, 142–150. (SCI).
37.K.-W. Chen, M. Eie, 2006.03., Explicit evaluations of extended Euler sums, J. of Number Theory, vol. 117, no. 1, 31–52. (SCI).
38.K.-W. Chen, 2005.10., Applications related to the generalized Seidel matrix, Ars Combin., vol. 77, 261–272.
NSC 91-2115-M-231-002. (SCIE).
39.K.-W. Chen, 2005.04., A summation on Bernoulli numbers, J. of Number Theory, vol. 111, no. 2, 372–391. (SCI).
40.K.-W. Chen, 2004.05., Congruences for Euler numbers, The Fibonacci Q., vol. 42, no. 2, 128–140, NSC 90-2115-M-264-001. (SCIE).
41.K.-W. Chen, 2004.01., An interesting lemma for regular C-fractions, Article 03.4.8, J. Integer Seq., vol. 6, 1–9.
42.K.-W. Chen, 2003.01., Sums of products of generalized Bernoulli polynomials, Pac. J. Math., vol. 208, no.
1, 39–52. NSC 89-2115-M-122-006. (SCI).
43.K.-W. Chen, 2001.07., Algorithms for Bernoulli numbers and Euler numbers, Article 01.1.6, J. Integer Seq., vol. 4, 1–7.
44.K.-W. Chen, M. Eie, 2001.05., A note on generalized Bernoulli numbers, Pac. J. Math., vol. 199, no. 1, 41–59.
NSC 88-2119-M-122-002. (SCI).
45.M. Eie, K.-W. Chen, 1999.08., A theorem on zeta functions associated with polynomials, Trans. Am. Math. Soc.,
vol. 351, no.8, 3217–3228. (SCI).
46.K.-W. Chen, 1994.11., Problem 10416, Am. Math. Mon., Nov., 912. (SCIE).
47.K.-W. Chen, 1993.03., On relative M-groups, Chinese J. Math., vol. 21, no. 1, 1–12.
（二）Preprints
1.K.-W. Chen, M. Eie, Y. L. Ong, 2023.04., Some Symmetry and Duality Theorems on Multiple Zeta(-star) Values.
https://arxiv.org/abs/2304.08722.
2.K.-W. Chen, M. Eie, 2022.03., Weighted Sum Formulas from Shuffle Products of Multiple Zeta-star Values.
https://arxiv.org/abs/2203.14030.
3.K.-W. Chen, M. Eie, 2022.02., On three general forms of multiple zeta(-star) values.
https://arxiv.org/abs/2202.03839
4.K.-W. Chen, M. Eie, 2021.10., On the convolutions of sums of multiple zeta(-star) values of height one.
https://arxiv.org/abs/2110.00231
5.K.-W. Chen, 2018.12., Generalized harmonic number sums and quasi-symmetric functions.
https://arxiv.org/abs/1812.06685
6.K.-W. Chen, M. Eie, 2018.10., Some special Euler sums and zeta^star(r + 2,{2}^n).
https://arxiv.org/abs/1810.11795
7.K.-W. Chen, 2017.07. Generalized Arakawa-Kaneko zeta functions.
https://arxiv.org/abs/1707.06771
8.K.-W. Chen, 2017.04. Multinomial sum formulas of multiple zeta values.
https://arxiv.org/abs/1704.05636
9.K.-W. Chen, C.-L. Chung, M. Eie, 2016.08. Sum formulas of mltiple zeta values with arguments are multiple of a positive integer.
https://arxiv.org/abs/1608.01412
【研究計畫】
114年度，探討 Yamamoto 積分，國科會。
113年度，特殊的歐拉加和，國科會。
112年度, 多重zeta值的相關圖表, 國科會。
111年度, 探討交替多重 zeta 值, 科技部。
110年度, Euler sums 相關積分技巧探討, 科技部。
109年度, Barnes G 函數和相關函數的漸近展開,科技部。
108年度, 探討特殊的Hessenberg行列式, 科技部。
107年度, 多重Zeta 和Zeta-Star 值, 科技部。
107年度, (指導) 大專生研究計劃-潘昱仁, 科技部。
106年度, 探討 Multiple Zeta Values 和 Symmetric Functions 的關聯, 科技部。
105年度, 廣義的Arakawa-Kaneko Zeta函數,科技部。
100-101年度, 北一區區域教學資源中心計畫教師專業成長社群, 北市大。
100年度, (指導) 大專生研究計劃-張耿豪, 國科會。
100年度, (指導) 大專生研究計劃-樓士豪, 國科會。
099年度, Multiple Zeta Values 的乘積研究, 國科會。
098年度, Multiple Zeta Values 的積分表現式, 國科會。
097-098年度, 圍棋智慧賽程式專題設計培育計畫, 教育部。
097年度, 退化Bernoulli數的研究, 國科會。
096年度, Bernoulli數的加和公式, 國科會。
096年度, 通識教育課程改進計畫-培育博雅人才, 教育部。
095年度, 探討Quasi-Parity廣義Seidel矩陣, 國科會。
094年度, Multiple zeta函數的相關等式, 國科會。
093年度, Multiple zeta functions的研究, 國科會。
092年度, 廣義Seidel矩陣之探討, 國科會。
091年度, 探討zeta函數和連分式的關係, 國科會。
090年度, 探討Zeta函數和Bernoulli數的關係(2/2), 國科會。
089年度, 廣義Bermoulli數的乘和, 國科會。
089年度, 探討Zeta函數和Bernoulli數的關係(1/2), 國科會。
088年度, Generalized Bernoulli多項式等式及其應用, 國科會。