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Volumn 48, Issue 177, 1987, Pages 123-137

Class groups of number fields: Numerical heuristics

Author keywords

Class group; Class number; Number field; Zeta function

Indexed keywords


EID: 84968476294     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1987-0866103-4     Document Type: Article
Times cited : (67)

References (15)
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  • 2
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    • The expectation of success using a Monte-Carlo factoring method—Some statistics on quadratic class numbers
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  • 3
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    • Jr. "Heuristics on class groups of number fields." Number Theory (Noordwijkerhout, 1983
    • Springer-Verlag. Berlin and New York
    • H. Cohen H. W. Lenstra, Jr. "Heuristics on class groups of number fields." Number Theory (Noordwijkerhout, 1983). Lectures Notes in Math., vol. 1068. p. 33-62. Springer-Verlag. Berlin and New York, 1984
    • (1984) Lectures Notes in Math , vol.1068 , pp. 33-62
    • Cohen, H.1    Lenstra, H.W.2
  • 5
    • 84966246325 scopus 로고
    • Computation of the 2-rank of pure cubic fields
    • H. Eisenbeis, G. Frey B. Ommerborn. "Computation of the 2-rank of pure cubic fields," Math. Comp. v. 32, 1978. p. 559-569.
    • (1978) Math. Comp , vol.32 , pp. 559-569
    • Eisenbeis, H.1    Frey, G.2    Ommerborn, B.3
  • 6
    • 84966256820 scopus 로고
    • On real cyclic sextic fields
    • V. Ennola, S. MKI R. Turunen, "On real cyclic sextic fields," Math. Comp. v. 45. 1985. p591-611.
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    • Ennola, V.1    Mki, S.2    Turunen, R.3
  • 7
    • 84966252289 scopus 로고
    • On totally real cubic fields
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    • Ennola, V.1    Turunen, R.2
  • 8
    • 84966220485 scopus 로고
    • On cyclic cubic fields
    • V. Ennola R. Turunen, "On cyclic cubic fields," Math. Comp. v. 45, 1985, p. 585-589
    • (1985) Math. Comp , vol.45 , pp. 585-589
    • Ennola, V.1    Turunen, R.2
  • 9
    • 0001784139 scopus 로고
    • Mthodes et algorithmes pour le calcul numrique du nombre de classes et des unites des extensions cubiques cycliques de Q
    • M.N. Gras, "Mthodes et algorithmes pour le calcul numrique du nombre de classes et des unites des extensions cubiques cycliques de Q," J. Reine Angew. Math., v. 277. 1975, p. 89-116.
    • (1975) J. Reine Angew. Math , vol.277 , pp. 89-116
    • Gras, M.N.1
  • 10
    • 0013535519 scopus 로고
    • Classes et units des extensions cycliques r;elles de degr 4 de Q
    • M.N. Gras, "Classes et units des extensions cycliques relles de degr 4 de Q," Ann. Inst. Fourier (Grenoble), v. 29, 1979, p. 107-124.
    • (1979) Ann. Inst. Fourier (Grenoble) , vol.29 , pp. 107-124
    • Gras, M.N.1
  • 11
    • 0142258936 scopus 로고
    • On the Pellian equation and the class number of indefinite binarv quadratic forms
    • U.C. Hooley, "On the Pellian equation and the class number of indefinite binarv quadratic forms." J. Reine Angew. Math., v. 353, 1984, p. 98-131.
    • (1984) J. Reine Angew. Math , vol.353 , pp. 98-131
    • Hooley, U.C.1
  • 12
    • 0003226432 scopus 로고
    • The Determination of Units in Real Cyclic Sextic Fields
    • Springer-Verlag, Berlin and New York
    • S. MKI, The Determination of Units in Real Cyclic Sextic Fields, Lecture Notes in Math., vol. 797, Springer-Verlag, Berlin and New York, 1980.
    • (1980) Lecture Notes in Math , vol.797
    • Mki, S.1
  • 13
    • 84966235685 scopus 로고
    • A note on class-number one in pure cubic fields
    • D. Shanks H. C. Williams, "A note on class-number one in pure cubic fields," Math. Comp., v. 33. 1979, p. 1317-1320.
    • (1979) Math. Comp , vol.33 , pp. 1317-1320
    • Shanks, D.1    Williams, H.C.2
  • 15
    • 84966219484 scopus 로고
    • A note on class-number one in certain real quadratic and pure cubic fields
    • M. Tennenhouse H. C. Williams, "A note on class-number one in certain real quadratic and pure cubic fields," Math. Comp., v. 46, 1986. p. 333-336.
    • (1986) Math. Comp , vol.46 , pp. 333-336
    • Tennenhouse, M.1    Williams, H.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.