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Volumn 137, Issue 6, 2009, Pages 1933-1939

New results on the least common multiple of consecutive integers

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Indexed keywords


EID: 77951068819     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-08-09730-X     Document Type: Article
Times cited : (28)

References (10)
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    • Bateman, P.1    Kalb, J.2    Stenger, A.3
  • 3
    • 27644588368 scopus 로고    scopus 로고
    • Minorations non triviales du plus petit commun multiple de certaines suites finies d'entiers
    • DOI 10.1016/j.crma.2005.09.019, PII S1631073X05004073
    • B. Farhi, Minorations non triviales du plus petit commun multiple de certaines suites finies d'entiers, C. R. Math. Acad. Sci. Paris, 341 (2005), 469-474. MR2180812 (2006g:11006) (Pubitemid 41554702)
    • (2005) Comptes Rendus Mathematique , vol.341 , Issue.8 , pp. 469-474
    • Farhi, B.1
  • 4
    • 34249100656 scopus 로고    scopus 로고
    • Nontrivial lower bounds for the least common multiple of some finite sequences of integers
    • MR2332595 (2008i:11001)
    • , Nontrivial lower bounds for the least common multiple of some finite sequences of integers, J. Number Theory, 125 (2007), 393-411. MR2332595 (2008i:11001)
    • (2007) J. Number Theory , vol.125 , pp. 393-411
  • 5
    • 0346723488 scopus 로고
    • On the product of the primes
    • MR0313179 (47:1734)
    • D. Hanson, On the product of the primes, Canad. Math. Bull., 15 (1972), 33-37. MR0313179 (47:1734)
    • (1972) Canad. Math. Bull. , vol.15 , pp. 33-37
    • Hanson, D.1
  • 6
    • 0003766834 scopus 로고
    • fifth ed., The Clarendon Press, Oxford Univ. Press, New York, MR568909 (81i:10002)
    • G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, fifth ed., The Clarendon Press, Oxford Univ. Press, New York, 1979. MR568909 (81i:10002)
    • (1979) An Introduction to the Theory of Numbers
    • Hardy, G.H.1    Wright, E.M.2
  • 7
    • 33845384133 scopus 로고    scopus 로고
    • Lower bounds for the least common multiple of finite arithmetic progressions
    • DOI 10.1016/j.crma.2006.11.002, PII S1631073X06004559
    • S. Hong and W. Feng, Lower bounds for the least common multiple of finite arithmetic progressions, C. R. Math. Acad. Sci. Paris, 343 (2006), 695-698. MR2284695 (2007h:11004) (Pubitemid 44890866)
    • (2006) Comptes Rendus Mathematique , vol.343 , Issue.11-12 , pp. 695-698
    • Hong, S.1    Feng, W.2
  • 8
    • 46449105984 scopus 로고    scopus 로고
    • On the periodicity of an arithmetical function
    • S. Hong and Y. Yang, On the periodicity of an arithmetical function, C. R. Math. Acad. Sci. Paris, 346 (2008), 717-721.
    • (2008) C. R. Math. Acad. Sci. Paris , vol.346 , pp. 717-721
    • Hong, S.1    Yang, Y.2
  • 9
    • 77950615238 scopus 로고    scopus 로고
    • Improvements of lower bounds for the least common multiple of finite arithmetic progressions
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    • (2008) Proc. Amer. Math. Soc. , vol.136 , pp. 4111-4114
  • 10
    • 0039193658 scopus 로고
    • On Chebyshev-type inequalities for primes
    • MR643279 (83f:10043)
    • M. Nair, On Chebyshev-type inequalities for primes, Amer. Math. Monthly, 89 (1982), 126-129. MR643279 (83f:10043)
    • (1982) Amer. Math. Monthly , vol.89 , pp. 126-129
    • Nair, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.