메뉴 건너뛰기




Volumn 38, Issue 1, 1998, Pages 77-88

An application of the mellin-barnes type of integral to the mean square of l-functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 54649084734     PISSN: 03631672     EISSN: 15738825     Source Type: Journal    
DOI: 10.1007/BF02465546     Document Type: Article
Times cited : (11)

References (25)
  • 1
    • 0001017285 scopus 로고
    • The mean-value of the Riemann zeta function
    • F. V. Atkinson, The mean-value of the Riemann zeta function, Acta Math., 81, 353-376 (1949).
    • (1949) Acta Math. , vol.81 , pp. 353-376
    • Atkinson, F.V.1
  • 2
    • 0000231158 scopus 로고
    • The Bateman Manuscript Project
    • McGraw-Hill, New York
    • A. Erdélyi et al. (the Bateman Manuscript Project), Higher Transcendental Functions, Vol. I, McGraw-Hill, New York (1953).
    • (1953) Higher Transcendental Functions , vol.1
    • Erdélyi, A.1
  • 3
    • 51249185464 scopus 로고
    • An asymptotic series for the mean value of Dirichlet L-functions
    • D. R. Heath-Brown, An asymptotic series for the mean value of Dirichlet L-functions, Comment. Math. Helv., 56, 148-161 (1981).
    • (1981) Comment. Math. Helv. , vol.56 , pp. 148-161
    • Heath-Brown, D.R.1
  • 6
    • 23944458466 scopus 로고
    • Asymptotic expansions of the mean values of Dirichlet L-functions. u
    • K. Nagasaka (Ed.), World Scientific, River Edge
    • M. Katsurada, Asymptotic expansions of the mean values of Dirichlet L-functions. u, in: Analytic Number Theory and Related Topics, K. Nagasaka (Ed.), World Scientific, River Edge (1993), pp. 61-71.
    • (1993) Analytic Number Theory and Related Topics , pp. 61-71
    • Katsurada, M.1
  • 7
    • 51249165763 scopus 로고
    • Asymptotic expansions of the mean values of Dirichlet L-functions. HI
    • M. Katsurada, Asymptotic expansions of the mean values of Dirichlet L-functions. HI, Manuscripta Math., 83, 425-442 (1994).
    • (1994) Manuscripta Math. , vol.83 , pp. 425-442
    • Katsurada, M.1
  • 8
    • 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. Ser. A Math. Sci., 72, 61-63 (1996).
    • (1996) Proc. Japan Acad. Ser. a Math. Sci. , vol.72 , pp. 61-63
    • Katsurada, M.1
  • 9
    • 0000905880 scopus 로고    scopus 로고
    • An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions
    • M. Katsurada, An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions, Collect. Math., 48, 137-153 (1997).
    • (1997) Collect. Math. , vol.48 , pp. 137-153
    • Katsurada, M.1
  • 10
    • 0007191331 scopus 로고    scopus 로고
    • On Mellin-Bames type of integrals and sums associated with the Riemann zeta-function
    • M. Katsurada, On Mellin-Bames type of integrals and sums associated with the Riemann zeta-function, Publ. Inst. Math., 62, 13-25 (1997).
    • (1997) Publ. Inst. Math. , vol.62 , pp. 13-25
    • Katsurada, M.1
  • 11
    • 51249171199 scopus 로고
    • Asymptotic expansions of the mean values of Dirichlet L-functions
    • M. Katsurada and K. Matsumoto, Asymptotic expansions of the mean values of Dirichlet L-functions, Math. Z, 208, 23-39 (1991).
    • (1991) Math. Z , vol.208 , pp. 23-39
    • Katsurada, M.1    Matsumoto, K.2
  • 12
    • 84972500162 scopus 로고
    • The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields
    • M. Katsurada and K. Matsumoto, The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields, Nagoya Math. J., 134, 151-172 (1994).
    • (1994) Nagoya Math. J. , vol.134 , pp. 151-172
    • Katsurada, M.1    Matsumoto, K.2
  • 13
    • 19744378620 scopus 로고
    • A generalization of Atkinson's formula to L-functions
    • T. Meurman, A generalization of Atkinson's formula to L-functions, Acta Arith., 47, 351-370 (1986).
    • (1986) Acta Arith. , vol.47 , pp. 351-370
    • Meurman, T.1
  • 14
    • 0000561614 scopus 로고
    • A note on the mean value of the zeta and L-functions. I
    • Y. Motohashi, A note on the mean value of the zeta and L-functions. I, Proc. Japan Acad. Ser. A Math. Sci., 61, 222-224 (1985).
    • (1985) Proc. Japan Acad. Ser. a Math. Sci. , vol.61 , pp. 222-224
    • Motohashi, Y.1
  • 15
    • 0007410451 scopus 로고
    • An explicit formula for the fourth power mean of the Riemann zeta-function
    • Y. Motohashi, An explicit formula for the fourth power mean of the Riemann zeta-function, Acta Math., 170, 181-220 (1993).
    • (1993) Acta Math. , vol.170 , pp. 181-220
    • Motohashi, Y.1
  • 17
    • 0348121376 scopus 로고
    • Dirichlet L-function and power series for the Hurwitz zêta function
    • V. V. Rane, Dirichlet L-function and power series for the Hurwitz zêta function, Proc. Indian Acad. Sci. Math. Sci., 1 03, 27-39 (1993).
    • (1993) Proc. Indian Acad. Sci. Math. Sci. , vol.1 , pp. 27-39
    • Rane, V.V.1
  • 20
    • 4544366313 scopus 로고
    • On the mean square value of the Dirichlet L-functions
    • Wenpeng Zhang, On the mean square value of the Dirichlet L-functions, Adv. Math. (China), 19, 321-333 (1990).
    • (1990) Adv. Math. (China) , vol.19 , pp. 321-333
    • Zhang, W.1
  • 21
    • 4544242519 scopus 로고
    • On the mean value of L-functions
    • Wenpeng Zhang, On the mean value of L-functions, J. Math. Res. Exposition, 10, 355-360 (1990).
    • (1990) J. Math. Res. Exposition , vol.10 , pp. 355-360
    • Zhang, W.1
  • 22
    • 4544261478 scopus 로고
    • On an elementary result of L-functions
    • Wenpeng Zhang, On an elementary result of L-functions, Adv. Math. (China), 19, 478-487 (1990).
    • (1990) Adv. Math. (China) , vol.19 , pp. 478-487
    • Zhang, W.1
  • 23
    • 44949278526 scopus 로고
    • On the mean value formula of Dirichlet L-functions. H
    • Wenpeng Zhang, On the mean value formula of Dirichlet L-functions. H, Science China Ser. A, 34, 660-675 (1991).
    • (1991) Science China Ser. a , vol.34 , pp. 660-675
    • Zhang, W.1
  • 24
    • 54749130133 scopus 로고
    • On the Dirichlet L-functions
    • Wenpeng Zhang, On the Dirichlet L-functions, Acta Math. Sinica (N.S.), 7, 103-118 (1991).
    • (1991) Acta Math. Sinica (N.S.) , vol.7 , pp. 103-118
    • Zhang, W.1
  • 25
    • 23944475997 scopus 로고
    • On the mean square value of Dirichlet's L-functions
    • Wenpeng Zhang, On the mean square value of Dirichlet's L-functions, Compositio Math., 84, 59-69 (1992).
    • (1992) Compositio Math. , vol.84 , pp. 59-69
    • Zhang, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.