Note on the Euler q-zeta functions

Journal of Number Theory

Volumn 129, Issue 7, 2009, Pages 1798-1804

  Kim, Taekyun ^a  

^a Kwangwoon University   (South Korea)

Author keywords

p Adic fermionic integrals; p Adic q integrals; q Euler number; Zeta function

Indexed keywords

EID: 67349242946     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnt.2008.10.007     Document Type: Article

References (31)

1. Cenkci M. The p-adic generalized twisted (h, q)-Euler-l-function and its applications. Adv. Stud. Contemp. Math. vol. 15 (2007) 37-47
2. Cenkci M., and Can M. Some results on q-analogue of the Lerch zeta function. Adv. Stud. Contemp. Math. vol. 12 (2006) 213-223
3. Cenkci M., Can M., and Kurt V. p-Adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers. Adv. Stud. Contemp. Math. vol. 9 (2004) 203-216
4. Cenkci M., Simsek Y., and Kurt V. Further remarks on multiple p-adic q - L-function of two variables. Adv. Stud. Contemp. Math. vol. 14 (2007) 49-68
5. Kim T. q-Volkenborn integration. Russ. J. Math. Phys. 9 (2002) 288-299
6. Kim T. On Euler-Barnes multiple zeta functions. Russ. J. Math. Phys. 10 (2003) 261-267
7. Kim T. Analytic continuation of multiple q-zeta functions and their values at negative integers. Russ. J. Math. Phys. 11 (2004) 71-76
8. Kim T. Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function. Russ. J. Math. Phys. 12 (2005) 186-196
9. Kim T. Multiple p-adic L-function. Russ. J. Math. Phys. 13 (2006) 151-157
10. Kim T. A note on p-adic invariant integral in the rings of p-adic integers. Adv. Stud. Contemp. Math. vol. 13 (2006) 95-99
11. Kim T. q-Generalized Euler numbers and polynomials. Russ. J. Math. Phys. 13 (2006) 293-298
12. Kim T. q-Extension of the Euler formula and trigonometric functions. Russ. J. Math. Phys. 14 (2007) 275-278
13. Kim T. q-Euler numbers and polynomials associated with p-adic q-integrals. J. Nonlinear Math. Phys. 14 (2007) 15-27
14. p associated with q-Euler numbers. Adv. Stud. Contemp. Math. vol. 15 (2007) 133-137
15. Kim T. Euler numbers and polynomials associated with zeta functions. Abstr. Appl. Anal. 2008 (2008) article ID 581582, 11 pages
16. Kim T. q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients. Russ. J. Math. Phys. 15 (2008) 51-57
17. Kim T. The modified q-Euler numbers and polynomials. Adv. Stud. Contemp. Math. vol. 16 (2008) 161-170
18. p. Russ. J. Math. Phys. 14 (2007) 160-163
19. Ozden H., Simsek Y., and Cangul I.N. Euler polynomials associated with p-adic q-Euler measure. Gen. Math. 15 (2007) 24-37
20. Ozden H., Simsek Y., and Cangul I.N. Multivariate interpolation functions of higher-order q-Euler numbers and their applications. Abstr. Appl. Anal. 2008 (2008) article ID 390857, 16 pages
21. Ozden H., Simsek Y., Rim S.-H., and Cangul I.N. On interpolation functions of the twisted generalized Frobenius-Euler numbers. Adv. Stud. Contemp. Math. vol. 15 (2007) 187-194
22. Simsek Y. Theorems on twisted L-function and twisted Bernoulli numbers. Adv. Stud. Contemp. Math. vol. 11 (2005) 205-218
23. Simsek Y. q-Analogue of twisted l-series and q-twisted Euler numbers. J. Number Theory 10 (2005) 267-278
24. Simsek Y. Hardy character sums related to Eisenstein series and theta functions. Adv. Stud. Contemp. Math. vol. 12 (2006) 39-53
25. Simsek Y. Remarks on reciprocity laws of the Dedekind and Hardy sums. Adv. Stud. Contemp. Math. vol. 12 (2006) 237-246
26. Simsek Y. On p-adic twisted q - L-functions related to generalized twisted Bernoulli numbers. Russ. J. Math. Phys. 13 (2006) 340-348
27. Simsek Y. Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Adv. Stud. Contemp. Math. vol. 16 (2008) 251-278
28. Simsek Y., and Acikgoz M. Remarks on Dedekind eta function, theta functions and Eisenstein series under the Hecke operators. Adv. Stud. Contemp. Math. vol. 10 (2005) 15-24
29. Simsek Y., Kim D., and Rim S.-H. On the two-variable Dirichlet q-L-series. Adv. Stud. Contemp. Math. vol. 10 (2005) 131-142
30. Simsek Y., Osman Y., and Kurt V. On interpolation functions of the twisted generalized Frobenius-Euler numbers. Adv. Stud. Contemp. Math. vol. 15 (2007) 187-194
31. Simsek Y., and Sheldon Y. Transformation of four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series. Adv. Stud. Contemp. Math. vol. 9 (2004) 195-202