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Volumn 78, Issue 2, 1996, Pages 161-177

Explicit formulas and asymptotic expansions for certain mean square of Hurwitz Zeta-Functions I

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EID: 21444440398     PISSN: 00255521     EISSN: None     Source Type: Journal    
DOI: 10.7146/math.scand.a-12580     Document Type: Article
Times cited : (20)

References (19)
  • 1
    • 0141478492 scopus 로고
    • Mean value properties of the Hurwitz zeta-function
    • J. Andersson, Mean value properties of the Hurwitz zeta-function, Math. Scand. 71 (1992), 295-300.
    • (1992) Math. Scand. , vol.71 , pp. 295-300
    • Andersson, J.1
  • 2
    • 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 (1949), 353-376.
    • (1949) Acta Math. , vol.81 , pp. 353-376
    • Atkinson, F.V.1
  • 4
    • 33746792957 scopus 로고
    • Local mean value and density estimates for Dirichlet L-functions
    • P. X. Gallagher, Local mean value and density estimates for Dirichlet L-functions, Indag. Math. 37 (1975), 259-264.
    • (1975) Indag. Math. , vol.37 , pp. 259-264
    • Gallagher, P.X.1
  • 5
    • 23944458466 scopus 로고
    • Asymptotic expansions of the mean values of Dirichlet L-functions II
    • K. Nagasaka (ed.), World Scientific
    • M. Katsurada, Asymptotic expansions of the mean values of Dirichlet L-functions II, "Analytic Number Theory and Related Topics", K. Nagasaka (ed.), World Scientific, 1993, pp. 61-71.
    • (1993) Analytic Number Theory and Related Topics , pp. 61-71
    • Katsurada, M.1
  • 6
    • 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 (1991), 23-39.
    • (1991) Math. Z. , vol.208 , pp. 23-39
    • Katsurada, M.1    Matsumoto, K.2
  • 7
    • 0000077085 scopus 로고
    • Discrete mean values of Hurwitz zeta-functions
    • M. Katsurada and K. Matsumoto, Discrete mean values of Hurwitz zeta-functions, Proc. Japan Acad. 69A (1993), 164-169.
    • (1993) Proc. Japan Acad. , vol.69 A , pp. 164-169
    • Katsurada, M.1    Matsumoto, K.2
  • 8
    • 0141701774 scopus 로고
    • Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions
    • M. Katsurada and K. Matsumoto, Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions, Proc. Japan Acad. 69A (1993), 303-307.
    • (1993) Proc. Japan Acad. , vol.69 A , pp. 303-307
    • Katsurada, M.1    Matsumoto, K.2
  • 9
    • 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 (1994), 151-172.
    • (1994) Nagoya Math. J. , vol.134 , pp. 151-172
    • Katsurada, M.1    Matsumoto, K.2
  • 10
    • 0141813151 scopus 로고
    • A mean value theorem for ζ(s, w)
    • J. F. Koksma and C. G. Lekkerkerker, A mean value theorem for ζ(s, w), Indag. Math. 14 (1952), 446-452.
    • (1952) Indag. Math. , vol.14 , pp. 446-452
    • Koksma, J.F.1    Lekkerkerker, C.G.2
  • 11
    • 0009920066 scopus 로고
    • Mellinsche Transformation und Orthogonalität bei ζ(s, u); Verallgemeinerung der Riemannschen Functionalgleichung von ζ(s)
    • M. Mikolás, Mellinsche Transformation und Orthogonalität bei ζ(s, u); Verallgemeinerung der Riemannschen Functionalgleichung von ζ(s), Acta Sci. Math: Szeged, 17 (1956), 143-164.
    • (1956) Acta Sci. Math: Szeged , vol.17 , pp. 143-164
    • Mikolás, M.1
  • 12
    • 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. 61A (1985), 222-224.
    • (1985) Proc. Japan Acad. , vol.61 A , pp. 222-224
    • Motohashi, Y.1
  • 13
    • 25444528134 scopus 로고
    • On Hurwitz zeta-function
    • V. V. Rane, On Hurwitz zeta-function, Math. Ann. 264 (1983), 147-151.
    • (1983) Math. Ann. , vol.264 , pp. 147-151
    • Rane, V.V.1
  • 17
    • 25444499585 scopus 로고
    • On the Hurwitz zeta-function
    • Wenpeng, Zhang, On the Hurwitz zeta-function, Northeast. Math. J. 6 (1990), 261-267.
    • (1990) Northeast. Math. J. , vol.6 , pp. 261-267
    • Wenpeng, Z.1
  • 18
    • 84972563847 scopus 로고
    • On the Hurwitz zeta-function
    • Wenpeng, Zhang, On the Hurwitz zeta-function, Illinois J. Math. 35 (1991), 569-576.
    • (1991) Illinois J. Math. , vol.35 , pp. 569-576
    • Wenpeng, Z.1
  • 19
    • 84972563038 scopus 로고
    • On the mean square value of the Hurwitz zeta-function
    • Wenpeng, Zhang, On the mean square value of the Hurwitz zeta-function, Illinois J. Math. ibid. 38 (1994), 71-78.
    • (1994) Illinois J. Math. , vol.38 , pp. 71-78
    • Wenpeng, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.