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Volumn 74, Issue 10, 1998, Pages 167-170

Power series and asymptotic series associated with the Lerch zeta-function

Author keywords

Asymptotic expansion; Hurwitz zeta function; Lerch zeta function; double zeta function; Mellin barnes integral

Indexed keywords


EID: 22444452123     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.74.167     Document Type: Article
Times cited : (29)

References (13)
  • 1
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    • Apostol, T.M.1
  • 2
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    • The theory of the gamma function
    • E. W. Barnes: The theory of the gamma function. Messenger Math., 29, 64-128 (1899).
    • (1899) Messenger Math. , vol.29 , pp. 64-128
    • Barnes, E.W.1
  • 3
    • 0001537096 scopus 로고
    • The theory of the double gamma function
    • E. W. Barnes: The theory of the double gamma function. Philos. Trans. Roy. Soc. (A), 196, 265-387 (1901).
    • (1901) Philos. Trans. Roy. Soc. (A) , vol.196 , pp. 265-387
    • Barnes, E.W.1
  • 5
    • 0001591389 scopus 로고
    • On the analogue of the formula of Chowla and Selberg for real quadratic fields
    • Chr. Deninger: On the analogue of the formula of Chowla and Selberg for real quadratic fields. J. Reine Angew. Math., 351, 172-191 (1984).
    • (1984) J. Reine Angew. Math. , vol.351 , pp. 172-191
    • Deninger, Chr.1
  • 7
    • 21344452031 scopus 로고    scopus 로고
    • Power series with the Riemann zeta-function in the coefficients
    • M. Katsurada: Power series with the Riemann zeta-function in the coefficients. Proc. Japan Acad., 72A, 61-63 (1996).
    • (1996) Proc. Japan Acad. , vol.72 A , pp. 61-63
    • Katsurada, M.1
  • 8
    • 0007191331 scopus 로고    scopus 로고
    • On Mcllin-Barnes type of integrals and sums associated with the Riemann zeta-function
    • M. Katsurada: On Mcllin-Barnes type of integrals and sums associated with the Riemann zeta-function. Publ. Inst. Math. (N. S.), Beograd, 62(76), 13-25 (1997).
    • (1997) Publ. Inst. Math. (N. S.), Beograd , vol.62 , Issue.76 , pp. 13-25
    • Katsurada, M.1
  • 9
    • 38249009861 scopus 로고
    • On the Taylor expansion of the Lerch zeta-function
    • D. Klusch: On the Taylor expansion of the Lerch zeta-function. J. Math. Anal. Appl., 170, 513-523 (1992).
    • (1992) J. Math. Anal. Appl. , vol.170 , pp. 513-523
    • Klusch, D.1
  • 11
    • 84941832275 scopus 로고
    • Untersuchung einer aus vier Elementen gebildeten Reihe
    • R. Lipschitz: Untersuchung einer aus vier Elementen gebildeten Reihe. J. Reine Angew. Math., 105, 127-156 (1889).
    • (1889) J. Reine Angew. Math. , vol.105 , pp. 127-156
    • Lipschitz, R.1
  • 12
    • 85022840222 scopus 로고    scopus 로고
    • Asymptotic series for double zeta, double gamma, and Hecke L-functions
    • K. Matsumoto: Asymptotic series for double zeta, double gamma, and Hecke L-functions. Math. Proc. Camb. Phil. Soc., 123, 385-405 (1998).
    • (1998) Math. Proc. Camb. Phil. Soc. , vol.123 , pp. 385-405
    • Matsumoto, K.1
  • 13
    • 3042709393 scopus 로고
    • Quantum groups and zeta-functions: In "Quantum Groups: Formalism and Applications."
    • eds. J. Lukierski, Z. Popowicz, and J. Sobczyk. Polish Scientific Publishers PWN
    • K. Ueno and M. Nishizawa: Quantum groups and zeta-functions: in "Quantum Groups: Formalism and Applications." Proceedings of the XXX-th Karpacz Winter School (eds. J. Lukierski, Z. Popowicz, and J. Sobczyk). Polish Scientific Publishers PWN, pp. 115-126 (1994).
    • (1994) Proceedings of the XXX-th Karpacz Winter School , pp. 115-126
    • Ueno, K.1    Nishizawa, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.