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Volumn 80, Issue 4, 2004, Pages 28-33

A note on the mean value of the zeta and L-functions. XIV

Author keywords

Automorphic representations of linear Lie groups; Kirillov map; Mean values of automorphic L functions

Indexed keywords


EID: 3042730341     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.80.28     Document Type: Conference Paper
Times cited : (7)

References (14)
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    • (2001) X. Proc. Japan Acad. , vol.77 A , pp. 111-114
    • Bruggeman, R.W.1    Motohashi, Y.2
  • 2
    • 0035982221 scopus 로고    scopus 로고
    • A note on the mean value of the zeta and L-functions
    • Bruggeman, R. W., and Motohashi, Y.: A note on the mean value of the zeta and L-functions, XIII. Proc. Japan Acad., 78A, 87-91 (2002).
    • (2002) XIII. Proc. Japan Acad. , vol.78 A , pp. 87-91
    • Bruggeman, R.W.1    Motohashi, Y.2
  • 3
    • 33644503836 scopus 로고    scopus 로고
    • Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field
    • Bruggeman, R. W., and Motohashi, Y.: Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field. Functiones et Approximatio, 31, 7-76 (2003).
    • (2003) Functiones et Approximatio , vol.31 , pp. 7-76
    • Bruggeman, R.W.1    Motohashi, Y.2
  • 4
    • 85039520343 scopus 로고    scopus 로고
    • A new approach to the spectral theory of the fourth moment of the Riemann zeta-function
    • To appear
    • Bruggeman, R. W., and Motohashi, Y.: A new approach to the spectral theory of the fourth moment of the Riemann zeta-function. (To appear in J. Reine Angew. Math.).
    • J. Reine Angew. Math.
    • Bruggeman, R.W.1    Motohashi, Y.2
  • 5
    • 0742268058 scopus 로고
    • Automorphic forms on SL(3, R)
    • Springer-Verlag, Berlin
    • Bump, D.: Automorphic Forms on SL(3, R). Lecture Notes in Math., vol. 1083, Springer-Verlag, Berlin, pp. 1-184 (1984).
    • (1984) Lecture Notes in Math. , vol.1083 , pp. 1-184
    • Bump, D.1
  • 7
    • 0347153520 scopus 로고
    • Beitraege zur Theorie der Dirichletreihen die Spitzenformen zugeordenet sind
    • Good, A.: Beitraege zur Theorie der Dirichletreihen die Spitzenformen zugeordenet sind. J. Number Theory, 13, 18-65 (1981).
    • (1981) J. Number Theory , vol.13 , pp. 18-65
    • Good, A.1
  • 9
    • 0039480750 scopus 로고    scopus 로고
    • Mean values of dirichlet series via laplace transforms
    • Analytic Number Theory, Kyoto 1996 (ed. Motohashi, Y.). Cambridge Univ. Press, Cambridge
    • Jutila, M.: Mean values of Dirichlet series via Laplace transforms. Analytic Number Theory, Proc. 39th Taniguchi Intern. Symp. Math., Kyoto 1996 (ed. Motohashi, Y.). Cambridge Univ. Press, Cambridge, pp. 169-207 (1997).
    • (1997) Proc. 39th Taniguchi Intern. Symp. Math. , pp. 169-207
    • Jutila, M.1
  • 10
    • 3042726114 scopus 로고
    • On ∞-dimensional unitary representations of the group of second-order matrices with elements from a locally compact field
    • Kirillov, A. A.: On ∞-dimensional unitary representations of the group of second-order matrices with elements from a locally compact field. Soviet Math. Dokl., 4, 748-752 (1963).
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 748-752
    • Kirillov, A.A.1
  • 11
    • 0039480748 scopus 로고
    • The fourth power mean of the Riemann zeta-function
    • Amalfi 1989 (eds. Bombieri, E., Perelli, A., Salerno, S., and Zannier, U.). Univ. Salerno, Salerno
    • Motohashi, Y.: The fourth power mean of the Riemann zeta-function. Proc. Conf. Analytic Number Theory, Amalfi 1989 (eds. Bombieri, E., Perelli, A., Salerno, S., and Zannier, U.). Univ. Salerno, Salerno, pp. 325-344 (1992).
    • (1992) Proc. Conf. Analytic Number Theory , pp. 325-344
    • Motohashi, Y.1
  • 12
    • 0010591690 scopus 로고
    • The mean square of Hecke L-series attached to holomorphic cusp-forms
    • Motohashi, Y.: The mean square of Hecke L-series attached to holomorphic cusp-forms. RIMS Kokyuroku, 886, 214-227 (1994).
    • (1994) RIMS Kokyuroku , vol.886 , pp. 214-227
    • Motohashi, Y.1
  • 14
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    • A note on the mean value of the zeta and L-functions
    • Motohashi, Y.: A note on the mean value of the zeta and L-functions, XII. Proc. Japan Acad., 78A, 36-41 (2002).
    • (2002) XII. Proc. Japan Acad. , vol.78 A , pp. 36-41
    • Motohashi, Y.1


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