1 |
C.S. Ryoo, T. Kim and L.C. Jang, A note on generalized Euler numbers and polynomials, Int. J. Comput. Math. 84 (2007), no. 7, 1099-1111.
DOI
|
2 |
K. Shiratani and S. Yamamoto, On a p-adic interpolation function for the Euler numbers and its derivatives, Mem. Fac. Sci. Kyushu Univ. Ser. A 39 (1985), 113-125.
|
3 |
Y. Simsek, q-analogue of twisted l-series and q-twisted Euler numbers, J. Number Theory 110 (2005), 267-278.
DOI
|
4 |
Y. Simsek, On twisted q-Hurwitz zeta function and q-two-variable L-function, Appl. Math. Comput. 187 (2007), 466-473.
|
5 |
P. Young, Congrunces for Bernoulli, Euler, and Stirling numbers, J. Number Theory 78 (1999), 204-227.
DOI
|
6 |
P. Young, On the behavior of some two-variable p-adic L-functions, J. Number Theory 98 (2003), no. 1, 67-88.
DOI
|
7 |
J.-P. Serre, Formes modulaires et fonctions zeta p-adiques, Modular functions of one variable III (Proc. Internat. Summer School, Univ. Antwerp, 1972), pp. 191-268, Lecture Notes in Math.350, Springer, Berlin, 1973.
|
8 |
H. Tsumura, On a p-adic interpolation of the generalized Euler numbers and its applications, Tokyo J. Math. 10 (1987), 281-293.
DOI
|
9 |
L.C. Washington, A note on p-adic L-functions, J. Number Theory 8 (1976) 245-250.
DOI
|
10 |
C.S. Ryoo, On the (p, q)-analogue of Euler zeta function, J. Appl. Math. Inform. 35 (2017), no. 3-4, 303-311.
DOI
|
11 |
C.S. Ryoo, Identities of symmetry for generalized Carlitz's q-tangent polynomials associated with p-adic integral on Zp, J. Appl. Math. Inform. 36 (2018), no. 1-2, 115-120.
DOI
|
12 |
L.C. Washington, Introduction to Cyclotomic Fields, Second Edition, Graduate Texts in Mathematics 83, Springer, 1996.
|
13 |
K. Iwasawa, Lectures on p-adic L-functions, Ann. Math. Studies 74, Princeton, New Jersey, 1972.
|
14 |
H. Cohen, Number Theory Vol. II: Analytic and Modern Tools, Graduate Texts in Mathematics 240, Springer, New York, 2007.
|
15 |
G.J. Fox, A p-adic L-function of two variables, Enseign. Math., II. Ser. 46 (2000), 225-278.
|
16 |
G.J. Fox, Kummer congruences for expressions involving generalized Bernoulli polynomials, J. Thor. Nombres Bordeaux 14 (2002), no. 1, 187-204.
DOI
|
17 |
T. Kim, On the analogs of Euler numbers and polynomials associated with p-adic q-integral on at q = -1, J. Math. Anal. Appl. 331 (2007), no. 2, 779-792.
DOI
|
18 |
T. Kim, Euler numbers and polynomials associated with Zeta functions, Abstr. Appl. Anal., Art. ID 581582, 2008.
|
19 |
T. Kim, On p-adic interpolating function for q-Euler numbers and its derivatives, J. Math. Anal. Appl. 339 (2008), 598-608.
DOI
|
20 |
M.-S. Kim, A representation of Dedekind sums with quasi-periodicity Euler functions, J. Appl. Math. Inform. 35 (2017), no. 5-6, 449-457.
DOI
|
21 |
M.-S. Kim, T. Kim, D.K. Park and J.-W. Son, On a two-variable p-adic -function, Abstr. Appl. Anal. 2008, Art. ID 360517, 10 pp.
|
22 |
H. Ozden and Y. Simsek, A new extension of q-Euler numbers and polynomials related to their interpolation functions, Appl. Math. Lett. 21 (2008), 934-939.
DOI
|
23 |
M.-S. Kim and S. Hu, On p-adic Hurwitz-type Euler zeta functions, J. Number Theory 132 (2012), 2977-3015.
DOI
|
24 |
T. Kubota and H.-W. Leopoldt, Eine p-adische Theorie der Zetawerte, J. Reine Angew. Math. 214/215 (1964), 328-339.
|
25 |
S. Lang, Cyclotomic fields I and II. Combined second edition. With an appendix by Karl Rubin. Graduate Texts in Mathematics, 121. Springer-Verlag, New York, 1990.
|