Note on Dedekind type DC sums

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참고문헌 (31)

1. T. M. Apostol, "Generalized Dedekind sums and transformation formulae of certain Lambert series", Duke Math. J., 17, pp.147~157 (1950)
2. M. Cenkci, "p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers", Advanced Studies in Contemporary Mathematics, 9, pp.203~216 (2004)
3. G. Kim, "The DC algorithm for computing sums of powers of consecutive integers and Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 17(2), pp.137~145 (2008), 장전수학회
4. T. Kim, "Note on the Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 17(2), pp.131~136 (2008), 장전수학회
5. T. Kim, "Euler Numbers and Polynomials Associated with Zeta Functions", Abstract and Applied Analysis, 2008, pp.11~ (2008)
6. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", Journal of Nonlinear Mathematical Physics, 14, pp.15~27 (2007)
7. T. Kim, "q-Volkenborn Integration", Russian J. Math. Phys., 9, pp.288~299 (2002)
8. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russian J. Math. Phys., 15, pp.51~57 (2008)
9. T. Kim, "q-extension of the Euler formula and trigonometric functions", Russian J. Math. Phys., 14, pp.275~278 (2007)
10. T. Kim, "Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp", Russian J. Math. Phys., 14, pp.160~163 (2007)
11. T. Kim, "q-generalized Euler numbers and polynomials", Russian J. Math. Phys., 13, pp.293~298 (2006)
12. T. Kim, "Multiple p-adic L-function", Russian J. Math. Phys., 13, pp.151~157 (2006)
13. T. Kim, "Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function", Russian J. Math. Phys., 12, pp.186~196 (2005)
14. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
15. T. Kim, "On Euler-Barnes multiple zeta functions", Russian J. Math. Phys., 10, pp.261~267 (2003)
16. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
17. Y. Simsek, "Relations between theta-functions Hardy sums Eisenstein and Lambert series in the transformation formula of log ηg,h(z)", J. Number Theory, 99, pp.338~360 (2003)
18. Y. Simsek, "q-Dedekind type sums related to q-zeta function and basic L-series", J. Math. Anal. Appl., 318, pp.333~351 (2006)
19. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회
20. H. Ozden, "Multivariate interpolation functions of higher-order q-Euler numbers and their applications", Abstract and Applied Analysis, 2008, pp.16~ (2008)
21. H. Ozden, "Euler polynomials associated with p-adic q-Euler measure", General Mathematics, 15, pp.24~37 (2007)
22. S. H. Rim, "On Genocchi numbers and polynomials", Abstract and Applied Mathematics, 2008, pp.7~ (2008)
23. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
24. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회
25. Y. Simsek, "Hardy character sums related to Eisenstein series and theta functions", Advanced Studies in Contemporary Mathematics, 12, pp.39~53 (2006)
26. Y. Simsek, "Remarks on reciprocity laws of the Dedekind and Hardy sums", Advanced Studies in Contemporary Mathematics, 12, pp.237~246 (2006)
27. Y. Simsek, "Theorems on twisted L-function and twisted Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 11, pp.205~218 (2005)
28. Y. Simsek, "Remarks on Dedekind eta function, theta functions and Eisenstein series under the Hecke operators", Advanced Studies in Contemporary Mathematics, 10, pp.15~24 (2005)
29. Y. Simsek, "Transformation of four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series", Advanced Studies in Contemporary Mathematics, 9, pp.195~202 (2004)
30. Y. Simsek, "On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers", Russian J. Math. Phys., 13, pp.340~348 (2006)
31. Y. Simsek, "q-Hardy-Berndt type sums associated with q-Genocchi type zeta and q-l-functions, Nonlinear Analysis: Theory, Methods and Applications Article in press", ~ (2008)

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