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Volumn 318, Issue 1, 2000, Pages 67-84

Mean values of Dirichlet L-series

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EID: 0034393999     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080000109     Document Type: Article
Times cited : (2)

References (21)
  • 1
    • 84968493681 scopus 로고
    • Identities involving the coefficients of a class of Dirichlet series I
    • B.C. Berndt, Identities involving the coefficients of a class of Dirichlet series I, Trans. Am. Math. Soc. 137(1969), 345-359
    • (1969) Trans. Am. Math. Soc. , vol.137 , pp. 345-359
    • Berndt, B.C.1
  • 3
    • 84974002532 scopus 로고
    • On the distribution of the number of lattice points inside a family of convex ovals
    • P. Bleher, On the distribution of the number of lattice points inside a family of convex ovals, Duke Math. J. 67(1992), 461-481
    • (1992) Duke Math. J. , vol.67 , pp. 461-481
    • Bleher, P.1
  • 4
    • 84963089151 scopus 로고
    • On character sums and L-series II
    • D.A. Burgess, On character sums and L-series II, Proc. London Math. Soc. 13(1963), 524-536
    • (1963) Proc. London Math. Soc. , vol.13 , pp. 524-536
    • Burgess, D.A.1
  • 5
    • 0013132155 scopus 로고    scopus 로고
    • On the Gauß mean value formula for class numbers
    • F. Chamizo, H. Iwaniec, On the Gauß mean value formula for class numbers, Nagoya Math. J. 151(1998), 199-208
    • (1998) Nagoya Math. J. , vol.151 , pp. 199-208
    • Chamizo, F.1    Iwaniec, H.2
  • 6
    • 0002470039 scopus 로고
    • Hecke's functional equation and arithmetical identities
    • K. Chandrasekharan, R. Narasimhan, Hecke's functional equation and arithmetical identities, Ann. of Math. 74(1961), 1-23
    • (1961) Ann. of Math. , vol.74 , pp. 1-23
    • Chandrasekharan, K.1    Narasimhan, R.2
  • 8
    • 0000209438 scopus 로고
    • Eisenstein series of 1/2-integral weight and the mean value of real Dirichlet L-series
    • D. Goldfeld, J. Hoffstein, Eisenstein series of 1/2-integral weight and the mean value of real Dirichlet L-series, Invent. math. 80(1985), 185-208
    • (1985) Invent. Math. , vol.80 , pp. 185-208
    • Goldfeld, D.1    Hoffstein, J.2
  • 9
    • 0000773449 scopus 로고
    • The distribution and moments of the error term in the Dirichlet divisor problem
    • D.R. Heath-Brown, The distribution and moments of the error term in the Dirichlet divisor problem, Acta. Arith. 60(1992), 389-415
    • (1992) Acta. Arith. , vol.60 , pp. 389-415
    • Heath-Brown, D.R.1
  • 10
    • 21844516491 scopus 로고
    • A mean value estimate for real character sums
    • D.R. Heath-Brown, A mean value estimate for real character sums, Acta Arith. 72(1995), 235-275
    • (1995) Acta Arith. , vol.72 , pp. 235-275
    • Heath-Brown, D.R.1
  • 12
    • 0038002514 scopus 로고
    • Springer-Verlag, Berlin-Göttingen-Heidelberg
    • W. Maak, Fastperiodische Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg 1950
    • (1950) Fastperiodische Funktionen
    • Maak, W.1
  • 13
    • 0039156982 scopus 로고
    • Über einige asymptotische gesetze der zahlentheorie
    • F. Mertens, Über einige asymptotische Gesetze der Zahlentheorie, J. Reine Angew. Math. 77(1874), 312-319
    • (1874) J. Reine Angew. Math. , vol.77 , pp. 312-319
    • Mertens, F.1
  • 14
    • 85086807900 scopus 로고    scopus 로고
    • Dirichlet series in two variables
    • to appear
    • M. Peter, Dirichlet series in two variables, to appear in J. Reine Angew. Math.
    • J. Reine Angew. Math.
    • Peter, M.1
  • 16
    • 0001844090 scopus 로고
    • On zeta-functions associated with the vector space of quadratic forms
    • T. Shintani, On zeta-functions associated with the vector space of quadratic forms, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 22(1975), 25-65
    • (1975) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.22 , pp. 25-65
    • Shintani, T.1
  • 17
    • 0001338502 scopus 로고
    • The average measure of quadratic forms with given determinant and signature
    • C.L. Siegel, The average measure of quadratic forms with given determinant and signature, Ann. of Math. 45(1944), 667-685
    • (1944) Ann. of Math. , vol.45 , pp. 667-685
    • Siegel, C.L.1
  • 19
    • 0039750699 scopus 로고
    • On the number of integer points in a sphere
    • I.M. Vinogradov, On the number of integer points in a sphere, Izv. Akad. Nauk SSSR, Ser. Mat. 27(1963), 957-968
    • (1963) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.27 , pp. 957-968
    • Vinogradov, I.M.1
  • 20
    • 0039948256 scopus 로고
    • Analogues of the Vinogradov-Gauß formula in the critical strip
    • L.A. Takhtadzhyan, A.I. Vinogradov, Analogues of the Vinogradov-Gauß formula in the critical strip, Proc. Steklov Inst. Math. 158(1983), 47-71
    • (1983) Proc. Steklov Inst. Math. , vol.158 , pp. 47-71
    • Takhtadzhyan, L.A.1    Vinogradov, A.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.