Top Cited Articles of All Time (2009 edition) in math

The 100 most highly cited papers of All Time (2009 edition) in the math archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. More information about citations in INSPIRE can be found here.

Also note that the counts shown, and used in the rankings, are the counts as of 2016-12-31. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers.

Annual and All-time 2009 editions

2009 reports for eprints

  1. 619 citations up to the end of 2009
  2. 232 citations up to the end of 2009
  3. 223 citations up to the end of 2009
  4. 215 citations up to the end of 2009
  5. 212 citations up to the end of 2009
  6. 109 citations up to the end of 2009
  7. 109 citations up to the end of 2009
    The Intrinsic torsion of SU(3) and G(2) structures
    Simon Chiossi (Genoa U.), Simon Salamon (Turin Polytechnic). Feb 2002. 18 pp.
    Published in Submitted to: J.Diff.Geom.
    To appear in the proceedings of Conference: C01-05-08.4
    e-Print: math/0202282 | PDF

  8. 108 citations up to the end of 2009
  9. 103 citations up to the end of 2009
  10. 96 citations up to the end of 2009
    The Octonions
    John C. Baez (UC, Riverside, Math. Dept.). May 2001. 56 pp.
    Published in Bull.Am.Math.Soc. 39 (2002) 145-205
    DOI: 10.1090/S0273-0979-01-00934-X
    e-Print: math/0105155 | PDF

  11. 93 citations up to the end of 2009
  12. 90 citations up to the end of 2009
  13. 88 citations up to the end of 2009
  14. 87 citations up to the end of 2009
  15. 82 citations up to the end of 2009
  16. 78 citations up to the end of 2009
  17. 77 citations up to the end of 2009
  18. 77 citations up to the end of 2009
  19. 75 citations up to the end of 2009
  20. 69 citations up to the end of 2009
  21. 67 citations up to the end of 2009
  22. 67 citations up to the end of 2009
  23. 63 citations up to the end of 2009
    Standard model bundles
    Ron Donagi (Pennsylvania U., Dept. Math.), Burt A. Ovrut (Pennsylvania U.), Tony Pantev (Pennsylvania U., Dept. Math.), Dan Waldram (CERN & Rockefeller U.). Aug 2000. 45 pp.
    Published in Adv.Theor.Math.Phys. 5 (2002) 563-615
    CERN-TH-2000-203, CERN-TH-2000-203-A, UPR-894-T, RU-00-5-B
    e-Print: math/0008010 | PDF

  24. 61 citations up to the end of 2009
  25. 61 citations up to the end of 2009
    XSummer: Transcendental functions and symbolic summation in form
    S. Moch (DESY, Zeuthen), P. Uwer (CERN). Jul 2005. 21 pp.
    Published in Comput.Phys.Commun. 174 (2006) 759-770
    DESY-05-104, SFB-CPP-05-24, CERN-PH-TH-2005-124
    DOI: 10.1016/j.cpc.2005.12.014
    e-Print: math-ph/0508008 | PDF

  26. 61 citations up to the end of 2009
  27. 60 citations up to the end of 2009
  28. 59 citations up to the end of 2009
  29. 58 citations up to the end of 2009
  30. 56 citations up to the end of 2009
  31. 56 citations up to the end of 2009
  32. 56 citations up to the end of 2009
  33. 55 citations up to the end of 2009
  34. 54 citations up to the end of 2009
  35. 53 citations up to the end of 2009
  36. 53 citations up to the end of 2009
  37. 53 citations up to the end of 2009
  38. 52 citations up to the end of 2009
  39. 52 citations up to the end of 2009
  40. 52 citations up to the end of 2009
  41. 51 citations up to the end of 2009
  42. 51 citations up to the end of 2009
  43. 49 citations up to the end of 2009
  44. 49 citations up to the end of 2009
  45. 47 citations up to the end of 2009
  46. 47 citations up to the end of 2009
  47. 46 citations up to the end of 2009
  48. 46 citations up to the end of 2009
  49. 46 citations up to the end of 2009
  50. 43 citations up to the end of 2009
  51. 42 citations up to the end of 2009
  52. 41 citations up to the end of 2009
  53. 41 citations up to the end of 2009
  54. 40 citations up to the end of 2009
  55. 39 citations up to the end of 2009
  56. 39 citations up to the end of 2009
  57. 39 citations up to the end of 2009
  58. 39 citations up to the end of 2009
  59. 39 citations up to the end of 2009
  60. 38 citations up to the end of 2009
  61. 37 citations up to the end of 2009
  62. 37 citations up to the end of 2009
    Selfdual Einstein metrics with torus symmetry
    David M.J. Calderbank, Henrik Pedersen. May 2001. 37 pp.
    Published in J.Diff.Geom. 60 (2002) no.3, 485-521
    EDINBURGH-MS-00-022-REVISED-SUBJ-CLASS:-DIFFERENTIAL-GEOMETRY
    e-Print: math/0105263 | PDF

  63. 37 citations up to the end of 2009
  64. 36 citations up to the end of 2009
  65. 34 citations up to the end of 2009
  66. 34 citations up to the end of 2009
  67. 32 citations up to the end of 2009
  68. 32 citations up to the end of 2009
  69. 30 citations up to the end of 2009
  70. 30 citations up to the end of 2009
  71. 29 citations up to the end of 2009
  72. 29 citations up to the end of 2009
  73. 28 citations up to the end of 2009
  74. 28 citations up to the end of 2009
  75. 28 citations up to the end of 2009
  76. 28 citations up to the end of 2009
  77. 27 citations up to the end of 2009
  78. 27 citations up to the end of 2009
  79. 26 citations up to the end of 2009
  80. 26 citations up to the end of 2009
  81. 26 citations up to the end of 2009
  82. 25 citations up to the end of 2009
  83. 25 citations up to the end of 2009
  84. 24 citations up to the end of 2009
  85. 24 citations up to the end of 2009
  86. 24 citations up to the end of 2009
  87. 24 citations up to the end of 2009
  88. 23 citations up to the end of 2009
  89. 23 citations up to the end of 2009
  90. 22 citations up to the end of 2009
    Quantum Teichmuller space
    L. Chekhov (Steklov Math. Inst., Moscow), V.V. Fock (Moscow, ITEP). Aug 1999. 16 pp.
    Published in Theor.Math.Phys. 120 (1999) 1245-1259, Teor.Mat.Fiz. 120 (1999) 511-528
    DOI: 10.1007/BF02557246
    e-Print: math/9908165 | PDF

  91. 22 citations up to the end of 2009
  92. 22 citations up to the end of 2009
  93. 22 citations up to the end of 2009
  94. 22 citations up to the end of 2009
  95. 22 citations up to the end of 2009
  96. 22 citations up to the end of 2009
  97. 21 citations up to the end of 2009
  98. 20 citations up to the end of 2009
  99. 20 citations up to the end of 2009
    Toda equations for Hurwitz numbers
    Andrei Okounkov. Apr 19, 2000. 7 pp.
    Published in Math.Res.Lett. 7 (2000) no.4, 447-453
    DOI: 10.4310/MRL.2000.v7.n4.a10
    e-Print: math/0004128 | PDF

  100. 19 citations up to the end of 2009