-
2
-
-
42649145229
-
-
K. Iwasawa, Lectures on p-adic L-functions, Princeton Univ. Press, 1972.
-
K. Iwasawa, Lectures on p-adic L-functions, Princeton Univ. Press, 1972.
-
-
-
-
3
-
-
0007453886
-
An analogue of Bernoulli numbers and their applications
-
T. Kira, An analogue of Bernoulli numbers and their applications, Rep. Fac. Sci. Engrg. Saga Univ. Math. 22(1994), 21-26.
-
(1994)
Rep. Fac. Sci. Engrg. Saga Univ. Math
, vol.22
, pp. 21-26
-
-
Kira, T.1
-
4
-
-
84973312023
-
On explicit formulas of p-adic q-L-functions
-
T. Kim, On explicit formulas of p-adic q-L-functions, Kyushu J. Math. 48(1) (1994), 73-86.
-
(1994)
Kyushu J. Math
, vol.48
, Issue.1
, pp. 73-86
-
-
Kim, T.1
-
5
-
-
0000837633
-
On a q-analogue of the p-adic log gamma functions and related integrals
-
T. Kim, On a q-analogue of the p-adic log gamma functions and related integrals. J. Number Theory 76(2) (1999), 320-329.
-
(1999)
J. Number Theory
, vol.76
, Issue.2
, pp. 320-329
-
-
Kim, T.1
-
6
-
-
0036631054
-
q-Volkenborn integration
-
T. Kim, q-Volkenborn integration, Russ. J. Math Phys., 19 (2002), 288-299.
-
(2002)
Russ. J. Math Phys
, vol.19
, pp. 288-299
-
-
Kim, T.1
-
7
-
-
0037252731
-
Non-archimedean q-integrals associated with multiple Changhee q-Bernoulli Polynomials
-
T. Kim, Non-archimedean q-integrals associated with multiple Changhee q-Bernoulli Polynomials, Russ. J. Math Phys., 10 (2003), 91-98.
-
(2003)
Russ. J. Math Phys
, vol.10
, pp. 91-98
-
-
Kim, T.1
-
8
-
-
20744456107
-
A note on Dirichlet L-series
-
Soc
-
T. Kim, A note on Dirichlet L-series, Proc. Jangjeon Math. Soc. 6 (2003) 161-166.
-
(2003)
Proc. Jangjeon Math
, Issue.161-166
, pp. 6
-
-
Kim, T.1
-
9
-
-
1842547615
-
q-Riemann zeta function
-
T. Kim, q-Riemann zeta function, Int. J. Math. Sci. 2004 (12), (2004), 599-605.
-
(2004)
Int. J. Math. Sci. 2004
, vol.12
, pp. 599-605
-
-
Kim, T.1
-
10
-
-
4544220994
-
p-adic q-integrals associated with the Changhee-Barnes' q-Bernoulli Polynomials
-
T. Kim, p-adic q-integrals associated with the Changhee-Barnes' q-Bernoulli Polynomials, Integral Transform. Spec. Funct. 15 (2004), 415-420.
-
(2004)
Integral Transform. Spec. Funct
, vol.15
, pp. 415-420
-
-
Kim, T.1
-
11
-
-
1842579226
-
Analytic continuation of multiple q-zeta functions and their values at negative integers
-
T. Kim, Analytic continuation of multiple q-zeta functions and their values at negative integers, Russ. J. Math Phys., 11 (1) (2004), 71-76.
-
(2004)
Russ. J. Math Phys
, vol.11
, Issue.1
, pp. 71-76
-
-
Kim, T.1
-
12
-
-
33748645207
-
A note on exploring the sums of powers of consecutive q-integers
-
T. Kim, A note on exploring the sums of powers of consecutive q-integers. Adv. Stud. Contemp. Math. 11(1) (2005), 137-140.
-
(2005)
Adv. Stud. Contemp. Math
, vol.11
, Issue.1
, pp. 137-140
-
-
Kim, T.1
-
13
-
-
33845295652
-
A new approach to p-adic q-L-functions
-
T. Kim, A new approach to p-adic q-L-functions, Adv. Stud. Contemp. Math. 12(1) (2006), 61-72.
-
(2006)
Adv. Stud. Contemp. Math
, vol.12
, Issue.1
, pp. 61-72
-
-
Kim, T.1
-
14
-
-
42649133315
-
-
expansion of alternating sums of powers, arXiv:math/0609086v1 [math.NT
-
T. Kim, p-adic q-expansion of alternating sums of powers, arXiv:math/0609086v1 [math.NT].
-
p-adic q
-
-
Kim, T.1
-
15
-
-
33847126749
-
Sums of products of generalized Bernoulli numbers
-
T. Kim and C. Adiga, Sums of products of generalized Bernoulli numbers, Intern. Math. J. 5(1) (2004), 1-7.
-
(2004)
Intern. Math. J
, vol.5
, Issue.1
, pp. 1-7
-
-
Kim, T.1
Adiga, C.2
-
16
-
-
32244441407
-
On the twisted q-zeta functions and q-Bernoulli polynomials
-
T. Kim, L.-C. Jang, S.-H. Rim and H. K. Pak, On the twisted q-zeta functions and q-Bernoulli polynomials, Far East J. Appl. Math., 13 (1) (2003), 13-21.
-
(2003)
Far East J. Appl. Math
, vol.13
, Issue.1
, pp. 13-21
-
-
Kim, T.1
Jang, L.-C.2
Rim, S.-H.3
Pak, H.K.4
-
17
-
-
42649112574
-
-
T. Kim, L.-C Jang and C.-S. Ryoo, Note on q-extensions of Euler numbers and polynomials of higher order, arXiv:0710.5810v1 [math.NT].
-
T. Kim, L.-C Jang and C.-S. Ryoo, Note on q-extensions of Euler numbers and polynomials of higher order, arXiv:0710.5810v1 [math.NT].
-
-
-
-
18
-
-
40949143297
-
On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions
-
T. Kim, S-H. Rim, Y. Simsek, and D. Kim, On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions, J. Korean Math. Soc. 45(2) (2008), 435-453.
-
(2008)
J. Korean Math. Soc
, vol.45
, Issue.2
, pp. 435-453
-
-
Kim, T.1
Rim, S.-H.2
Simsek, Y.3
Kim, D.4
-
19
-
-
84972567204
-
A new proof of certain formulas for p-adic L-functions
-
N. Koblitz, A new proof of certain formulas for p-adic L-functions, Duke Math. J., 40 (1979), 455-468.
-
(1979)
Duke Math. J
, vol.40
, pp. 455-468
-
-
Koblitz, N.1
-
20
-
-
42649128856
-
-
N. Koblitz, p-adic Analysis: A short course on recent work, London Math. Soc. Lec. Note Ser. 46, 1980.
-
N. Koblitz, p-adic Analysis: A short course on recent work, London Math. Soc. Lec. Note Ser. 46, 1980.
-
-
-
-
21
-
-
42649139383
-
-
adic Analysis and Zeta Functions, Springer-Verlag, New York Inc
-
N. Koblitz, p-adic Numbers p-adic Analysis and Zeta Functions, Springer-Verlag, New York Inc. 1977.
-
(1977)
p-adic Numbers p
-
-
Koblitz, N.1
-
22
-
-
42649107889
-
-
H. Ozden, Y. Simsek Y., S.-H. Rim and I. N. Cangul, A note on p-adic q-Euler Measure, Advan. Stud. Contemp. Math. 14(2) (2007), 233-239, ArXiv:math/0702868.
-
H. Ozden, Y. Simsek Y., S.-H. Rim and I. N. Cangul, A note on p-adic q-Euler Measure, Advan. Stud. Contemp. Math. 14(2) (2007), 233-239, ArXiv:math/0702868.
-
-
-
-
23
-
-
38249023691
-
q-analogue of Riemann's ζ-function and q-Euler numbers
-
J. Satho, q-analogue of Riemann's ζ-function and q-Euler numbers,J. Number Theory, 31, (1989), 346-361
-
(1989)
J. Number Theory
, vol.31
, pp. 346-361
-
-
Satho, J.1
-
25
-
-
42649127225
-
-
K. Shiratani, On Euler numbers, Mem. Fac. Kyushu Uni., 27 (1973), 1-5.
-
K. Shiratani, On Euler numbers, Mem. Fac. Kyushu Uni., 27 (1973), 1-5.
-
-
-
-
26
-
-
0000689401
-
On a p-adic interpolation function for the Euler numbers and its derivative
-
K, Shiratani and S. Yamamoto, On a p-adic interpolation function for the Euler numbers and its derivative, Mem. Fac. Kyushu Uni., 39 (1985), 113-125.
-
(1985)
Mem. Fac. Kyushu Uni
, vol.39
, pp. 113-125
-
-
Shiratani, K.1
Yamamoto, S.2
-
27
-
-
18344372229
-
q-analogue of the twisted L-functions and q-twisted Bernoulli numbers
-
Y. Simsek, On q-analogue of the twisted L-functions and q-twisted Bernoulli numbers, J. Korean Math. Soc., 40(6) (2003), 963-975.
-
(2003)
J. Korean Math. Soc
, vol.40
, Issue.6
, pp. 963-975
-
-
Simsek, Y.1
On2
-
28
-
-
14044267490
-
q-analogue of the twisted l-series and q-twisted Euler numbers
-
Y. Simsek, q-analogue of the twisted l-series and q-twisted Euler numbers, J. Number Theory, 110 (2) (2005), 267-278.
-
(2005)
J. Number Theory
, vol.110
, Issue.2
, pp. 267-278
-
-
Simsek, Y.1
-
29
-
-
33749535910
-
Theorems on twisted L-functions and twisted Bernoulli numbers, Adv. Stud
-
Y. Simsek, Theorems on twisted L-functions and twisted Bernoulli numbers, Adv. Stud. Contep. Math., 11 (2) (2005), 205-218.
-
(2005)
Contep. Math
, vol.11
, Issue.2
, pp. 205-218
-
-
Simsek, Y.1
-
30
-
-
33749505834
-
Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function
-
Y. Simsek, Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function, J. Math. Anal. Appl., 324(2006), 790-804.
-
(2006)
J. Math. Anal. Appl
, vol.324
, pp. 790-804
-
-
Simsek, Y.1
-
31
-
-
34247350680
-
On twisted q-Hurwitz zeta function and q-two-variable L-function
-
Y. Simsek, On twisted q-Hurwitz zeta function and q-two-variable L-function, Appl. Math. Comput. 187(1) (2007), 466-473.
-
(2007)
Appl. Math. Comput
, vol.187
, Issue.1
, pp. 466-473
-
-
Simsek, Y.1
-
32
-
-
33644653604
-
q-Dedekind type sums related to q-zeta function and basic L-series
-
Y. Simsek, q-Dedekind type sums related to q-zeta function and basic L-series, J. Math. Anal. Appl. 318(1) (2006), 333-351.
-
(2006)
J. Math. Anal. Appl
, vol.318
, Issue.1
, pp. 333-351
-
-
Simsek, Y.1
-
33
-
-
33845307272
-
p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers
-
Y. Simsek, On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russ. J. Math Phys. 13(3) (2006), 340-348.
-
(2006)
Russ. J. Math Phys
, vol.13
, Issue.3
, pp. 340-348
-
-
Simsek, Y.1
On2
-
34
-
-
42649131529
-
-
Y. Simsek, Twisted p-adic (h, q)-L-functions, arXiv:0711.0085v1 [math.NT]
-
Y. Simsek, Twisted p-adic (h, q)-L-functions, arXiv:0711.0085v1 [math.NT]
-
-
-
-
35
-
-
33644637397
-
On the two-variable Dirichlet q-L-series, Adv. Stud
-
Y. Simsek, D. Kim and S. -H. Rim, On the two-variable Dirichlet q-L-series, Adv. Stud. Contep. Math.10 (2) (2005) 131-142.
-
(2005)
Contep. Math
, vol.10
, Issue.2
, pp. 131-142
-
-
Simsek, Y.1
Kim, D.2
Rim, S.-H.3
-
36
-
-
20744457221
-
q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series
-
H. M. Srivastava, T. Kim and Y. Simsek, q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series, Russ. J. Math Phys. 12(2) (2005) 241-268.
-
(2005)
Russ. J. Math Phys
, vol.12
, Issue.2
, pp. 241-268
-
-
Srivastava, H.M.1
Kim, T.2
Simsek, Y.3
-
37
-
-
0000464494
-
-
H. Tsumura, A note on q-analogue of the Dirichlet Series and q-Bernoulli numbers, J. Number Theory, 39 (1991), 251-256.
-
H. Tsumura, A note on q-analogue of the Dirichlet Series and q-Bernoulli numbers, J. Number Theory, 39 (1991), 251-256.
-
-
-
-
38
-
-
42649138393
-
From Number
-
Springer-Verlag
-
M. Waldschmidt, P. Moussa, J. M. Luck, C. Itzykson, From Number Theory to Physics, Springer-Verlag, 1995.
-
(1995)
Theory to Physics
-
-
Waldschmidt, M.1
Moussa, P.2
Luck, J.M.3
Itzykson, C.4
-
39
-
-
42649116262
-
-
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th Edition, Cambridge University Press, Cambridge, 1962.
-
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th Edition, Cambridge University Press, Cambridge, 1962.
-
-
-
-
40
-
-
34648827001
-
Multiple q-zeta functions and multiple q-polylogarithms
-
J. Zhao, Multiple q-zeta functions and multiple q-polylogarithms, Ramanujan J. 14 (2007) 189-221.
-
(2007)
Ramanujan J
, vol.14
, pp. 189-221
-
-
Zhao, J.1
|