메뉴 건너뛰기




Volumn 206, Issue 1, 1997, Pages 103-120

Sums associated with the zeta function

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS;

EID: 0031060742     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5198     Document Type: Article
Times cited : (30)

References (25)
  • 1
    • 0001638669 scopus 로고
    • Über eine classe von funktionen, die der gammafunktion analog sind
    • 1. W. Alexeiewsky, Über eine Classe von Funktionen, die der Gammafunktion analog sind, Leipzig Weidmannsche Buchhandlung 46 (1894), 268-275.
    • (1894) Leipzig Weidmannsche Buchhandlung , vol.46 , pp. 268-275
    • Alexeiewsky, W.1
  • 2
    • 0000038422 scopus 로고
    • The theory of the G-function
    • 2. E. W. Barnes, The theory of the G-function, Quart. J. Math. 31 (1899), 264-314.
    • (1899) Quart. J. Math. , vol.31 , pp. 264-314
    • Barnes, E.W.1
  • 3
    • 84960580659 scopus 로고
    • Genesis of the double gamma function
    • 3. E. W. Barnes, Genesis of the double gamma function, Proc. London Math. Soc. 31 (1900), 358-381.
    • (1900) Proc. London Math. Soc. , vol.31 , pp. 358-381
    • Barnes, E.W.1
  • 5
    • 0011453609 scopus 로고
    • Analogues p-adiques des fonctions T-multiples
    • "Journées Arithmétiques de Luminy" Colloq. Internat. CNRS, Centre Univ. Luminy, Luminy, France, Paris
    • 5. P. Cassou-Noguès, Analogues p-adiques des fonctions T-multiples, in "Journées Arithmétiques de Luminy" (Colloq. Internat. CNRS, Centre Univ. Luminy, Luminy, 1978), pp. 43-55, Astérisque, 61, Soc. Math. France, Paris, 1979.
    • (1978) Astérisque, 61, Soc. Math. , vol.61 , pp. 43-55
    • Cassou-Noguès, P.1
  • 10
    • 0002362668 scopus 로고
    • Dieterichsche Verlags-Buchhandlung, Gōttingen
    • 10. V. O. Hȯlder, "Über eine Transcendente Funktion,pp. 514-522, Dieterichsche Verlags-Buchhandlung, Gōttingen, 1886.
    • (1886) Über Eine Transcendente Funktion , pp. 514-522
    • Holder, V.O.1
  • 13
    • 84943137703 scopus 로고
    • "Über eine mit der gamma funktion verwandte transcendente und deren anwendung auf die integralrechnung
    • 13. V. H. Kinkelin, "Über eine mit der Gamma Funktion verwandte Transcendente und deren Anwendung auf die Integralrechnung, J. Reine Angew. Math. 57 (1860), 122-158.
    • (1860) J. Reine Angew. Math. , vol.57 , pp. 122-158
    • Kinkelin, V.H.1
  • 15
    • 84972494467 scopus 로고
    • A proof of the classical kronecker limit formula
    • 15. T. Shintani, A proof of the classical Kronecker limit formula, Tokyo J. Math. 3 (1980), 191-199.
    • (1980) Tokyo J. Math. , vol.3 , pp. 191-199
    • Shintani, T.1
  • 16
    • 0010895471 scopus 로고
    • Some series involving Riemann zeta function
    • 16. R. J. Singh and D. P. Verma, Some series involving Riemann zeta function, Yokohama Math. J. 31 (1983), 1-4.
    • (1983) Yokohama Math. J. , vol.31 , pp. 1-4
    • Singh, R.J.1    Verma, D.P.2
  • 17
    • 0002676205 scopus 로고
    • A unified presentation of certain classes of series of the Riemann zeta function
    • 17. H. M. Srivastava, A unified presentation of certain classes of series of the Riemann zeta function, Riv. Mat. Univ. Parma (4) 14 (1988), 1-23.
    • (1988) Riv. Mat. Univ. Parma (4) , vol.14 , pp. 1-23
    • Srivastava, H.M.1
  • 18
    • 0010895816 scopus 로고
    • Sums of the Riemann zeta-function
    • 18. D. Suryanarayana, Sums of the Riemann zeta-function, Math. Student 42 (1974), 141-143.
    • (1974) Math. Student , vol.42 , pp. 141-143
    • Suryanarayana, D.1
  • 20
    • 0001225575 scopus 로고
    • Determinants of laplacians and multiple gamma functions
    • 20. I. Vardi, Determinants of Laplacians and multiple gamma functions, SIAM J. Math. Anal. 19 (1988), 493-507.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 493-507
    • Vardi, I.1
  • 21
    • 0010820643 scopus 로고
    • Summation of some series involving Riemann zeta function
    • 21. D. P. Verma and A. Kaur, Summation of some series involving Riemann zeta function, Indian J. Math. 25 (1983), 181-184.
    • (1983) Indian J. Math. , vol.25 , pp. 181-184
    • Verma, D.P.1    Kaur, A.2
  • 22
    • 0000536038 scopus 로고
    • L'équation fonctionnelle de la fonction zêta de Selberg du groupe modulaire PSL(2, Z)
    • Journées Arithmétiques de Luminy" Colloq. Internat. CNRS, Centre Univ. Luminy, Luminy, France, Paris
    • 22. M.-F. Vignéras, L'équation fonctionnelle de la fonction zêta de Selberg du groupe modulaire PSL(2, Z), in "Journées Arithmétiques de Luminy" (Colloq. Internat. CNRS, Centre Univ. Luminy, Luminy, 1978), pp. 235-249, Astérisque, 61, Soc. Math. France, Paris, 1979.
    • (1978) Astérisque, 61, Soc. Math. , vol.61 , pp. 235-249
    • Vignéras, M.-F.1
  • 23
    • 22244446790 scopus 로고
    • Special functions, spectral functions and the Selberg zeta function
    • 23. A. Voros, Special functions, spectral functions and the Selberg zeta function, Comm. Math. Phys. 110 (1987), 439-465.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 439-465
    • Voros, A.1
  • 25
    • 0001847762 scopus 로고
    • A proof of Burnside's formula for log T(X + 1) and certain allied properties of Riemann's ζ-function
    • 25. J. R. Wilton, A proof of Burnside's formula for log T(X + 1) and certain allied properties of Riemann's ζ-function, Messenger Math. 52 (1922-1923), 90-93.
    • (1922) Messenger Math. , vol.52 , pp. 90-93
    • Wilton, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.