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Volumn 76, Issue 3, 1998, Pages 497-522

Simple zeros of the Riemann zeta-function

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EID: 0000120043     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611598000306     Document Type: Article
Times cited : (61)

References (18)
  • 1
    • 84966201984 scopus 로고
    • Simple zeros of the Riemann zeta-function
    • A. Y. CHEER and D. A. GOLDSTON, 'Simple zeros of the Riemann zeta-function', Proc. Amer. Math. Soc. 118 (1993) 365-373.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 365-373
    • Cheer, A.Y.1    Goldston, D.A.2
  • 2
    • 0002996556 scopus 로고
    • Zeros of derivatives of Riemann's ξ-function on the critical line
    • J. B. CONREY, 'Zeros of derivatives of Riemann's ξ-function on the critical line', J. Number Theory 16 (1983) 49-14.
    • (1983) J. Number Theory , vol.16 , pp. 49-114
    • Conrey, J.B.1
  • 3
    • 33747093479 scopus 로고
    • On the distribution of the zeros of the Riemann zeta-function
    • University of Texas Press, Austin
    • J. B. CONREY, 'On the distribution of the zeros of the Riemann zeta-function', Topics in analytic number theory (University of Texas Press, Austin, 1985), pp. 28-41.
    • (1985) Topics in Analytic Number Theory , pp. 28-41
    • Conrey, J.B.1
  • 4
    • 33751144939 scopus 로고
    • More than two-fifths of the zeros of the Riemann zeta-function are on the critical line
    • J. B. CONREY, 'More than two-fifths of the zeros of the Riemann zeta-function are on the critical line', J. Reine Angew. Math. 399 (1989) 1-26.
    • (1989) J. Reine Angew. Math. , vol.399 , pp. 1-26
    • Conrey, J.B.1
  • 5
    • 0002159132 scopus 로고
    • Mean values of the Riemann zeta-function with application to the distribution of zeros
    • Academic Press, Boston
    • J. B. CONREY, A. GHOSH and S. M. GONEK, 'Mean values of the Riemann zeta-function with application to the distribution of zeros', Number theory, trace formulas and discrete groups (Academic Press, Boston, 1989), pp. 185-199.
    • (1989) Number Theory, Trace Formulas and Discrete Groups , pp. 185-199
    • Conrey, J.B.1    Ghosh, A.2    Gonek, S.M.3
  • 6
    • 0003647258 scopus 로고
    • (revised by H. L. Montgomery), Graduate Texts in Mathematics 74 Springer, New York
    • H. DAVENPORT, Multiplicative number theory, 2nd edn (revised by H. L. Montgomery), Graduate Texts in Mathematics 74 (Springer, New York, 1980).
    • (1980) Multiplicative Number Theory, 2nd Edn
    • Davenport, H.1
  • 7
    • 84974054507 scopus 로고
    • Bombieri's mean value theorem
    • P. X. GALLAGHER, 'Bombieri's mean value theorem', Mathematika 15 (1968) 1-6.
    • (1968) Mathematika , vol.15 , pp. 1-6
    • Gallagher, P.X.1
  • 8
    • 0002226746 scopus 로고
    • Mean values of the Riemann zeta-function and its derivatives
    • S. M. GONEK, 'Mean values of the Riemann zeta-function and its derivatives', Invent. Math. 75 (1984) 123-141.
    • (1984) Invent. Math. , vol.75 , pp. 123-141
    • Gonek, S.M.1
  • 9
    • 0010096677 scopus 로고
    • Simple zeros of the Riemann zeta-function on the critical line
    • D. R. HEATH-BROWN, 'Simple zeros of the Riemann zeta-function on the critical line', Bull. London Math. Soc. 11 (1979) 17-18.
    • (1979) Bull. London Math. Soc. , vol.11 , pp. 17-18
    • Heath-Brown, D.R.1
  • 10
    • 0000203512 scopus 로고
    • More than one-third of zeros of Riemann's zeta-function are on σ = 1/2
    • N. LEVINSON, 'More than one-third of zeros of Riemann's zeta-function are on σ = 1/2', Adv. in Math. 13 (1974) 383-436.
    • (1974) Adv. in Math. , vol.13 , pp. 383-436
    • Levinson, N.1
  • 12
    • 0000308274 scopus 로고
    • The pair correlation of zeros of the zeta function
    • St Louis University, St Louis, Mo.
    • H. L. MONTGOMERY, 'The pair correlation of zeros of the zeta function', Analytic number theory (St Louis University, St Louis, Mo., 1972),
    • (1972) Analytic Number Theory
    • Montgomery, H.L.1
  • 13
    • 0000308274 scopus 로고
    • American Mathematical Society, Providence, R.I.
    • Proceedings of Symposia in Pure Mathematics 24 (American Mathematical Society, Providence, R.I., 1973), pp. 181-193.
    • (1973) Proceedings of Symposia in Pure Mathematics 24 , pp. 181-193
  • 15
    • 0002908730 scopus 로고
    • A simple proof of the mean fourth power estimate for ζ(1/2 + it) and L(1/2 + it, χ)
    • K. RAMACHANDRA, 'A simple proof of the mean fourth power estimate for ζ(1/2 + it) and L(1/2 + it, χ)', Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 1 (1974) 81-97.
    • (1974) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.1 , Issue.4 , pp. 81-97
    • Ramachandra, K.1
  • 16
    • 0011348498 scopus 로고
    • A Brun-Titchmarsh Theorem for multiplicative functions
    • P. SHIU, 'A Brun-Titchmarsh Theorem for multiplicative functions', J. Reine Angew. Math. 313 (1980) 161-170.
    • (1980) J. Reine Angew. Math. , vol.313 , pp. 161-170
    • Shiu, P.1
  • 17
    • 0003669011 scopus 로고
    • edited and with a preface by D. R. Heath-Brown, The Clarendon Press, Oxford University Press, New York
    • E. C. TITCHMARSH, The theory of the Riemann zeta-function, 2nd edn (edited and with a preface by D. R. Heath-Brown, The Clarendon Press, Oxford University Press, New York, 1986).
    • (1986) The Theory of the Riemann Zeta-function, 2nd Edn
    • Titchmarsh, E.C.1
  • 18
    • 84883947517 scopus 로고
    • Mean value theorems in prime number theory
    • R. C. VAUGHAN, 'Mean value theorems in prime number theory', J. London Math. Soc. (2) 10 (1975) 153-162.
    • (1975) J. London Math. Soc. , vol.10 , Issue.2 , pp. 153-162
    • Vaughan, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.