메뉴 건너뛰기




Volumn 78, Issue 1, 1978, Pages 191-231

Mean value theorems for a class of dirichlet series

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84972533607     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1978.78.191     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 84968497552 scopus 로고
    • The approximate functional equation of Hecke’s Dirichlet series
    • T. M. Apostol and A. Sklar, The approximate functional equation of Hecke’s Dirichlet series, Trans. Amer. Math. Soc., 86 (1957), 446-462.
    • (1957) Trans. Amer. Math. Soc. , vol.86 , pp. 446-462
    • Apostol, T.M.1    Sklar, A.2
  • 3
    • 84966234535 scopus 로고
    • Identities involving the coefficients of a class of Dirichlet series
    • B. C. Berndt, Identities involving the coefficients of a class of Dirichlet series, V, Trans. Amer. Math. Soc., 160 (1971), 139-156.
    • (1971) V, Trans. Amer. Math. Soc , vol.160 , pp. 139-156
    • Berndt, B.C.1
  • 4
    • 0001944137 scopus 로고
    • Functional equations with mutiple gamma factors and the average order of arithmetical functions
    • K. Chandrasekharan and R. Narasimhan, Functional equations with mutiple gamma factors and the average order of arithmetical functions, Ann. of Math., 70 (1962), 93-136.
    • (1962) Ann. Of Math. , vol.70 , pp. 93-136
    • Chandrasekharan, K.1    Narasimhan, R.2
  • 5
    • 0002112818 scopus 로고
    • Approximate functional equations for a class of zeta functions
    • K. Chandrasekharan and R. Narasimhan, Approximate functional equations for a class of zeta functions, Math.Ann., 152 (1963), 30-64.
    • (1963) Math.Ann. , vol.152 , pp. 30-64
    • Chandrasekharan, K.1    Narasimhan, R.2
  • 6
    • 0010176616 scopus 로고
    • On the mean value of the error term of a class of arithmetical functions
    • K. Chandrasekharan and R. Narasimhan, On the mean value of the error term of a class of arithmetical functions, Acta Math., 112 (1964), 41-67.
    • (1964) Acta Math. , vol.112 , pp. 41-67
    • Chandrasekharan, K.1    Narasimhan, R.2
  • 7
    • 34250952532 scopus 로고
    • TJber zwei Sdtze des Herrn G. H. Hardy
    • H. Cramer, TJber zwei Sdtze des Herrn G. H. Hardy, Math. Zeit., 15 (1922), 201-210.
    • (1922) Math. Zeit. , vol.15 , pp. 201-210
    • Cramer, H.1
  • 9
    • 0011628968 scopus 로고
    • Note on Ramanujan1 s arithmetical function T(n)
    • 1 s arithmetical function T(n), Proc. Cambridge Phil. Soc., 23 (1927), 675-680.
    • (1927) Proc. Cambridge Phil. Soc , vol.23 , pp. 675-680
    • Hardy, G.H.1
  • 11
    • 0002632841 scopus 로고
    • Fine neue Art von Zetafunktion und ihre Beziehungen zur Verteliung der Primzahlen, II
    • E. Hecke, Fine neue Art von Zetafunktion und ihre Beziehungen zur Verteliung der Primzahlen, II, Math. Zeit., 6 (1920), 11-51.
    • (1920) Math. Zeit. , vol.6 , pp. 11-51
    • Hecke, E.1
  • 12
    • 0000598401 scopus 로고
    • Uber die Mittelwertsdtze der Gitterpunkte, V
    • V. Jarnik, Uber die Mittelwertsdtze der Gitterpunkte, V, Cas. mat. fyz., 69 (1940) 148-174.
    • (1940) Cas. Mat. Fyz. , vol.69 , pp. 148-174
    • Jarnik, V.1
  • 15
    • 84958735168 scopus 로고
    • Contributions to the theory of Ramanujan1 s function r(N) and similar arithmetical functions, II
    • 1 s function r(n) and similar arithmetical functions, II, Proc. Cambridge Phil. Soc., 35 (1939), 357-372.
    • (1939) Proc. Cambridge Phil. Soc , vol.35 , pp. 357-372
    • Rankin, R.A.1
  • 16
    • 0003190025 scopus 로고
    • Some formulae in the analytic theory of numbers
    • S. Ramanujan, Some formulae in the analytic theory of numbers, Messenger of Math., 45 (1915), 81-84.
    • (1915) Messenger of Math. , vol.45 , pp. 81-84
    • Ramanujan, S.1
  • 17
    • 0345926916 scopus 로고
    • Uber die Zeta funktion indefiniter quadratischen Formen, I
    • C. L. Siegel, Uber die Zeta funktion indefiniter quadratischen Formen, I, Math. Zeit., 43 (1938), 682-708.
    • (1938) Math. Zeit. , vol.43 , pp. 682-708
    • Siegel, C.L.1
  • 18
    • 0007012210 scopus 로고
    • L-functions and character sums for quadratic forms, I
    • H. M. Stark, L-functions and character sums for quadratic forms, I, Acta Arith., 14 (1968), 35-50.
    • (1968) Acta Arith. , vol.14 , pp. 35-50
    • Stark, H.M.1
  • 20
    • 33746982030 scopus 로고
    • Uber die Koeffizientsummen einiger Modulformen
    • A. Walfisz, Uber die Koeffizientsummen einiger Modulformen, Math. Ann., 108 (1933), 75-90.
    • (1933) Math. Ann. , vol.108 , pp. 75-90
    • Walfisz, A.1
  • 21
    • 84870875890 scopus 로고
    • Uber Gitterpunkte in mehrdimensional Ellipsoiden, VIII, Trudy TbiL
    • A. Walfisz, Uber Gitterpunkte in mehrdimensional Ellipsoiden, VIII, Trudy TbiL Math. Inst., 5 (1938), 1-65.
    • (1938) Math. Inst. , vol.5 , pp. 1-65
    • Walfisz, A.1
  • 22
    • 84960605743 scopus 로고
    • Proofs of some formulae enunciated by Ramanujan, Proc. London
    • B. Wilson, Proofs of some formulae enunciated by Ramanujan, Proc. London Math. Soc., (2) 21 (1922), 235-255.
    • (1922) Math. Soc , vol.2 , Issue.21 , pp. 235-255
    • Wilson, B.1
  • 23
    • 84963044459 scopus 로고
    • The asymptotic expansion of the generalized hyper geometric function
    • E. M. Wright, The asymptotic expansion of the generalized hyper geometric function, J. London Math. Soc., 10 (1935), 287-293.
    • (1935) J. London Math. Soc. , vol.10 , pp. 287-293
    • Wright, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.