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Volumn 15, Issue 4, 2008, Pages 447-459

Multiple two-variable p-adic q-L-function and its behavior at s = 0

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EID: 57849094961     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: 10.1134/S106192080804002X     Document Type: Article
Times cited : (25)

References (34)
  • 1
  • 2
    • 20844434732 scopus 로고    scopus 로고
    • P-Adic Interpolation Functions and Kummer-Type Congruences for q-Twisted and Generalized q-Twisted Euler Numbers
    • 2
    • M. Cenkci M. Can V. Kurt 2004 p-Adic Interpolation Functions and Kummer-Type Congruences for q-Twisted and Generalized q-Twisted Euler Numbers Adv. Stud. Contemp. Math. 9 2 203 216
    • (2004) Adv. Stud. Contemp. Math. , vol.9 , pp. 203-216
    • Cenkci, M.1    Can, M.2    Kurt, V.3
  • 3
    • 33947116584 scopus 로고    scopus 로고
    • Some Results on q-Analogue of the Lerch Zeta Function
    • 2
    • M. Cenkci M. Can 2006 Some Results on q-Analogue of the Lerch Zeta Function Adv. Stud. Contemp. Math. 12 2 213 223
    • (2006) Adv. Stud. Contemp. Math. , vol.12 , pp. 213-223
    • Cenkci, M.1    Can, M.2
  • 4
    • 0348076712 scopus 로고
    • The p-Adic Log Gamma Function and p-Adic Euler Constants
    • J. Diamond 1977 The p-Adic Log Gamma Function and p-Adic Euler Constants Trans. Amer. Math. Soc. 233 321 337
    • (1977) Trans. Amer. Math. Soc. , vol.233 , pp. 321-337
    • Diamond, J.1
  • 5
    • 0013127659 scopus 로고
    • On the Behaviour of p-Adic L-Functions at s = 0
    • B. Ferrero R. Greenberg 1978 On the Behaviour of p-Adic L-Functions at s = 0 Invent. Math. 50 91 102
    • (1978) Invent. Math. , vol.50 , pp. 91-102
    • Ferrero, B.1    Greenberg, R.2
  • 6
    • 0037872654 scopus 로고    scopus 로고
    • A Method of Washington Applied to the Derivation of a Two-Varible p-Adic L-Function
    • 1
    • G. J. Fox 2003 A Method of Washington Applied to the Derivation of a Two-Varible p-Adic L-Function Pacific J. Math. 209 1 31 40
    • (2003) Pacific J. Math. , vol.209 , pp. 31-40
    • Fox, G.J.1
  • 7
    • 0003231451 scopus 로고
    • Lectures on p-Adic L-Functions
    • Princeton University Press Princeton
    • K. Iwasawa, Lectures on p-Adic L-Functions, Ann. Math. Studies 74 (Princeton University Press, Princeton, 1972).
    • (1972) Ann. Math. Studies
    • Iwasawa, K.1
  • 8
    • 1542611573 scopus 로고    scopus 로고
    • Kummer Congruence for the Bernoulli Numbers of Higher Order
    • L. Jang T. Kim D.-W. Park 2004 Kummer Congruence for the Bernoulli Numbers of Higher Order Appl. Math. Comput. 151 589 593
    • (2004) Appl. Math. Comput. , vol.151 , pp. 589-593
    • Jang, L.1    Kim, T.2    Park, D.-W.3
  • 9
    • 31244435713 scopus 로고    scopus 로고
    • On p-Adic q-L-Functions and Sums of Powers
    • T. Kim 2002 On p-Adic q-L-Functions and Sums of Powers Discrete Math. 252 179 187
    • (2002) Discrete Math. , vol.252 , pp. 179-187
    • Kim, T.1
  • 10
    • 0036631054 scopus 로고    scopus 로고
    • Q-Volkenborn Integration
    • 3
    • T. Kim 2002 q-Volkenborn Integration Russ. J. Math. Phys. 9 3 288 299
    • (2002) Russ. J. Math. Phys. , vol.9 , pp. 288-299
    • Kim, T.1
  • 11
    • 0037252731 scopus 로고    scopus 로고
    • Non-Archimedean q-Integrals Associated with Multiple Changhee q-Bernoulli Polynomials
    • 1
    • T. Kim 2003 Non-Archimedean q-Integrals Associated with Multiple Changhee q-Bernoulli Polynomials Russ. J. Math. Phys. 10 1 91 98
    • (2003) Russ. J. Math. Phys. , vol.10 , pp. 91-98
    • Kim, T.1
  • 12
    • 0141976231 scopus 로고    scopus 로고
    • On Euler-Barnes Multiple Zeta Functions
    • 3
    • T. Kim 2003 On Euler-Barnes Multiple Zeta Functions Russ. J. Math. Phys. 10 3 261 267
    • (2003) Russ. J. Math. Phys. , vol.10 , pp. 261-267
    • Kim, T.1
  • 13
    • 20744439060 scopus 로고    scopus 로고
    • Sums of Powers of Consequtive q-Integers
    • T. Kim 2004 Sums of Powers of Consequtive q-Integers Adv. Stud. Contemp. Math. 9 15 18
    • (2004) Adv. Stud. Contemp. Math. , vol.9 , pp. 15-18
    • Kim, T.1
  • 14
    • 1842579226 scopus 로고    scopus 로고
    • Analytic Continuation of Multiple q-Zeta Functions and Their Values at Negative Integers
    • 1
    • T. Kim 2004 Analytic Continuation of Multiple q-Zeta Functions and Their Values at Negative Integers Russ. J. Math. Phys. 11 1 71 76
    • (2004) Russ. J. Math. Phys. , vol.11 , pp. 71-76
    • Kim, T.1
  • 15
    • 20844432935 scopus 로고    scopus 로고
    • Power Series and Asymptotic Series Associated with the q-Analog of the Two Variable p-Adic L-Function
    • 2
    • T. Kim 2005 Power Series and Asymptotic Series Associated with the q-Analog of the Two Variable p-Adic L-Function Russ. J. Math. Phys. 12 2 186 196
    • (2005) Russ. J. Math. Phys. , vol.12 , pp. 186-196
    • Kim, T.1
  • 16
    • 33845295652 scopus 로고    scopus 로고
    • A New Approach to p-Adic q-L-Function
    • 1
    • T. Kim 2006 A New Approach to p-Adic q-L-Function Adv. Stud. Contemp. Math. 12 1 61 72
    • (2006) Adv. Stud. Contemp. Math. , vol.12 , pp. 61-72
    • Kim, T.1
  • 17
    • 33845358463 scopus 로고    scopus 로고
    • Multiple p-Adic L-Function
    • 2
    • T. Kim 2006 Multiple p-Adic L-Function Russ. J. Math. Phys. 13 2 151 157
    • (2006) Russ. J. Math. Phys. , vol.13 , pp. 151-157
    • Kim, T.1
  • 18
    • 40949083042 scopus 로고    scopus 로고
    • A Note on Multiple Dirichlet's q-L-Function
    • 1
    • T. Kim J.-S. Cho 2005 A Note on Multiple Dirichlet's q-L-Function Adv. Stud. Contemp. Math. 11 1 57 60
    • (2005) Adv. Stud. Contemp. Math. , vol.11 , pp. 57-60
    • Kim, T.1    Cho, J.-S.2
  • 19
    • 84972567204 scopus 로고
    • A New Proof of Certain Formulas for p-Adic L-Functions
    • 2
    • N. Koblitz 1979 A New Proof of Certain Formulas for p-Adic L-Functions Duke Math. J. 46 2 455 468
    • (1979) Duke Math. J. , vol.46 , pp. 455-468
    • Koblitz, N.1
  • 20
    • 0003268757 scopus 로고
    • P-adic analysis: A short course on recent work
    • Cambridge University Press Cambridge-New York
    • N. Koblitz, p-Adic Analysis: A Short Course on Recent Work, London Math. Soc. Lecture Notes Ser. 46 (Cambridge University Press, Cambridge-New York, 1980).
    • (1980) London Math. Soc. Lecture Notes Ser. , vol.46
    • Koblitz, N.1
  • 21
    • 84941405529 scopus 로고
    • Eine p-adische Theorie der Zetawerte I, Einführung der p-adischen Dirichletschen L-Funktionen
    • T. Kubota, H.-W. Leopoldt, "Eine p-adische Theorie der Zetawerte I, Einführung der p-adischen Dirichletschen L-Funktionen," J. Reine Angew. Math., no. 214/215, 328-339 (1964).
    • (1964) J. Reine Angew. Math. , vol.214-215 , pp. 328-339
    • Kubota, T.1    Leopoldt, H.-W.2
  • 22
    • 21344488849 scopus 로고
    • On the Zeros of the q-Analogue of Exponential Function
    • C. A. Nelson M.G. Gartley 1994 On the Zeros of the q-Analogue of Exponential Function J. Phys. A: Math. Gen. 24 3857 3881
    • (1994) J. Phys. A: Math. Gen. , vol.24 , pp. 3857-3881
    • Nelson, C.A.1    Gartley, M.G.2
  • 25
    • 0000689401 scopus 로고
    • On a p-Adic Interpolation Function for the Euler Numbers and Its Derivative
    • K. Shiratani S. Yamamato 1985 On a p-Adic Interpolation Function for the Euler Numbers and Its Derivative Mem. Fac. Sci. Kyushu Univ. 39 113 125
    • (1985) Mem. Fac. Sci. Kyushu Univ. , vol.39 , pp. 113-125
    • Shiratani, K.1    Yamamato, S.2
  • 26
    • 33845307272 scopus 로고    scopus 로고
    • On p-Adic Twisted q-L-Functions Related to Generalized Twisted Bernoulli Numbers
    • 3
    • Y. Simsek 2006 On p-Adic Twisted q-L-Functions Related to Generalized Twisted Bernoulli Numbers Russ. J. Math. Phys. 13 3 340 348
    • (2006) Russ. J. Math. Phys. , vol.13 , pp. 340-348
    • Simsek, Y.1
  • 27
    • 34247350680 scopus 로고    scopus 로고
    • On Twisted q-Hurwitz Zeta Function and q-Two-Variable L-function
    • 1
    • Y. Simsek 2007 On Twisted q-Hurwitz Zeta Function and q-Two-Variable L-function Appl. Math. Comput. 187 1 466 473
    • (2007) Appl. Math. Comput. , vol.187 , pp. 466-473
    • Simsek, Y.1
  • 29
    • 34547268868 scopus 로고    scopus 로고
    • The Behavior of the Twisted p-Adic (h, q)-L-Functions at s = 0
    • 4
    • Y. Simsek 2007 The Behavior of the Twisted p-Adic (h, q)-L-Functions at s = 0 J. Korean Math. Soc. 44 4 915 929
    • (2007) J. Korean Math. Soc. , vol.44 , pp. 915-929
    • Simsek, Y.1
  • 31
    • 20744457221 scopus 로고    scopus 로고
    • Q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-Series
    • 2
    • H.M. Srivastava T. Kim Y. Simsek 2005 q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-Series Russ. J. Math. Phys. 12 2 241 268
    • (2005) Russ. J. Math. Phys. , vol.12 , pp. 241-268
    • Srivastava, H.M.1    Kim, T.2    Simsek, Y.3
  • 32
    • 0037727646 scopus 로고
    • A Note on p-Adic L-Functions
    • L. C. Washington 1976 A Note on p-Adic L-Functions J. Number Theory 8 245 250
    • (1976) J. Number Theory , vol.8 , pp. 245-250
    • Washington, L.C.1
  • 34
    • 0037272067 scopus 로고    scopus 로고
    • On the Behavior of Some Two-Variable p-Adic L-Function
    • P. T. Young 2003 On the Behavior of Some Two-Variable p-Adic L-Function J. Number Theory 98 67 86
    • (2003) J. Number Theory , vol.98 , pp. 67-86
    • Young, P.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.