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Ramanujan Journal

Volumn 14, Issue 2, 2007, Pages 189-221

Multiple q-zeta functions and multiple q-polylogarithms

(1) Zhao, Jianqiang a

a ECKERD COLLEGE (United States)

Author keywords

Iterated integrals; Multiple q polylogarithms; Multiple q zeta functions; Shuffle relations

Indexed keywords

EID: 34648827001 PISSN: 13824090 EISSN: None Source Type: Journal
DOI: 10.1007/s11139-007-9025-9 Document Type: Article

Times cited : (82)

References (16)

1
- 0035649980
- Multiple zeta values at non-positive integers
- Akiyama, S., Tanigawa, Y.: Multiple zeta values at non-positive integers. Ramanujan J. 5, 327-351 (2001)
- (2001) Ramanujan J. , vol.5 , pp. 327-351
- Akiyama, S.¹ Tanigawa, Y.²

2
- 0035651776
- Analytic continuation of multiple zeta-functions and their values at non-positive integers
- Akiyama, S., Egami, S., Tanigawa, Y.: Analytic continuation of multiple zeta-functions and their values at non-positive integers. Acta. Arith. 98, 107-116 (2001)
- (2001) Acta. Arith. , vol.98 , pp. 107-116
- Akiyama, S.¹ Egami, S.² Tanigawa, Y.³

3
- 0038748881
- Multiple polylogarithms: A brief survey
- Berndt, B.C., Ono, K. (eds.) Proceedings of a Conference on q-series with Applications to Combinatorics, Number Theory and Physics math.CA/0310062
- Bowman, D., Bradley, D.M.: Multiple polylogarithms: a brief survey. In: Berndt, B.C., Ono, K. (eds.) Proceedings of a Conference on q-series with Applications to Combinatorics, Number Theory and Physics. Amer. Math. Soc. Contemp. Math. 291, 71-92 (2001). math.CA/0310062
- (2001) Amer. Math. Soc. Contemp. Math. , vol.291 , pp. 71-92
- Bowman, D.¹ Bradley, D.M.²

4
- 13444250135
- Multiple q-zeta values
- Bradley, D.M.: Multiple q-zeta values. J. Algebra 283, 752-798 (2005)
- (2005) J. Algebra , vol.283 , pp. 752-798
- Bradley, D.M.¹

5
- 33746697691
- A q-analog of Euler's decomposition formula for the double zeta function
- 21
- Bradley, D.M.: A q-analog of Euler's decomposition formula for the double zeta function. Int. J. Math. Math. Sci. 2005(21), 3453-3458 (2005)
- (2005) Int. J. Math. Math. Sci. , vol.2005 , pp. 3453-3458
- Bradley, D.M.¹

6
- 0346111796
- Quasi-shuffle products
- Hoffman, M.E.: Quasi-shuffle products. J. Algebr. Comb. 11, 49-68 (2000)
- (2000) J. Algebr. Comb. , vol.11 , pp. 49-68
- Hoffman, M.E.¹

7
- 84974497034
- On q-functions and a certain difference operator
- Jackson, F.H.: On q-functions and a certain difference operator. Trans. Roy. Soc. Edin. 46, 253-281 (1908)
- (1908) Trans. Roy. Soc. Edin. , vol.46 , pp. 253-281
- Jackson, F.H.¹

8
- 0001483988
- On q-definite integrals
- Jackson, F.H.: On q-definite integrals. Q. J. Pure Appl. Math. 41, 193-203 (1908)
- (1908) Q. J. Pure Appl. Math. , vol.41 , pp. 193-203
- Jackson, F.H.¹

9
- 85024460943
- A variation of Euler's approach to values of the Riemann zeta function
- Kaneko, M., Kurokawa, N., Wakayama, M.: A variation of Euler's approach to values of the Riemann zeta function. Kyushu J. Math. 57, 175-192 (2003)
- (2003) Kyushu J. Math. , vol.57 , pp. 175-192
- Kaneko, M.¹ Kurokawa, N.² Wakayama, M.³

10
- 23044510411
- arxiv.org/abs/math.NT/0402135
- Kawagoe, K., Wakayama, M., Yamasaki, Y.: q-Analogues of the Riemann zeta, the Dirichlet L-functions and a crystal zeta function. arxiv.org/abs/math.NT/ 0402135
- Q-Analogues of the Riemann Zeta, the Dirichlet L-functions and a Crystal Zeta Function
- Kawagoe, K.¹ Wakayama, M.² Yamasaki, Y.³

11
- 0000220305
- Special functions and q-commuting variables
- Koornwinder, T.H.: Special functions and q-commuting variables. Fields Inst. Commun. 14, 131-166 (1997)
- (1997) Fields Inst. Commun. , vol.14 , pp. 131-166
- Koornwinder, T.H.¹

12
- 13444284713
- arxiv.org/abs/math.QA/0111022
- Schlesinger, K.-G.: Some remarks on q-deformed multiple polylogarithms. arxiv.org/abs/math.QA/0111022
- Some Remarks on Q-deformed Multiple Polylogarithms
- Schlesinger, K.-G.¹

13
- 0003957510
- Cambridge University Press, Cambridge
- Whittaker, E.T., Watson, G.N.: A Course of Modern Analysis. Cambridge University Press, Cambridge
- A Course of Modern Analysis
- Whittaker, E.T.¹ Watson, G.N.²

14
- 23044520708
- Analytic continuation of multiple zeta functions
- Zhao, J.: Analytic continuation of multiple zeta functions. Proc. Am. Math. Soc. 128, 1275-1283 (1999)
- (1999) Proc. Am. Math. Soc. , vol.128 , pp. 1275-1283
- Zhao, J.¹

15
- 13444297098
- arxiv.org/abs/math.QA/0304448
- Zhao, J.: q-Multiple zeta functions and q-multiple polylogarithms. arxiv.org/abs/math.QA/0304448
- Q-Multiple Zeta Functions and Q-multiple Polylogarithms
- Zhao, J.¹

16
- 34648847859
- Renormalization of multiple q-Zeta values
- to appear
- Zhao, J.: Renormalization of multiple q-Zeta values. Acta Math. Sinica (to appear)
- Acta Math. Sinica
- Zhao, J.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.