Top Cited Articles of All Time (2013 edition) in math

The 100 most highly cited papers of All Time (2013 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 2013 editions

2013 reports for eprints

  1. 989 citations up to the end of 2013
  2. 398 citations up to the end of 2013
  3. 374 citations up to the end of 2013
  4. 294 citations up to the end of 2013
  5. 270 citations up to the end of 2013
  6. 186 citations up to the end of 2013
  7. 180 citations up to the end of 2013
    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

  8. 179 citations up to the end of 2013
  9. 169 citations up to the end of 2013
  10. 157 citations up to the end of 2013
  11. 154 citations up to the end of 2013
  12. 153 citations up to the end of 2013
  13. 146 citations up to the end of 2013
    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

  14. 141 citations up to the end of 2013
  15. 130 citations up to the end of 2013
  16. 121 citations up to the end of 2013
  17. 120 citations up to the end of 2013
  18. 111 citations up to the end of 2013
  19. 110 citations up to the end of 2013
  20. 104 citations up to the end of 2013
  21. 100 citations up to the end of 2013
  22. 100 citations up to the end of 2013
    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

  23. 98 citations up to the end of 2013
  24. 97 citations up to the end of 2013
  25. 93 citations up to the end of 2013
  26. 93 citations up to the end of 2013
  27. 89 citations up to the end of 2013
  28. 85 citations up to the end of 2013
  29. 82 citations up to the end of 2013
  30. 80 citations up to the end of 2013
  31. 80 citations up to the end of 2013
  32. 80 citations up to the end of 2013
  33. 80 citations up to the end of 2013
  34. 80 citations up to the end of 2013
  35. 76 citations up to the end of 2013
    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

  36. 76 citations up to the end of 2013
  37. 76 citations up to the end of 2013
  38. 74 citations up to the end of 2013
  39. 73 citations up to the end of 2013
  40. 71 citations up to the end of 2013
  41. 70 citations up to the end of 2013
  42. 68 citations up to the end of 2013
  43. 67 citations up to the end of 2013
  44. 67 citations up to the end of 2013
  45. 66 citations up to the end of 2013
  46. 65 citations up to the end of 2013
  47. 65 citations up to the end of 2013
  48. 64 citations up to the end of 2013
  49. 63 citations up to the end of 2013
  50. 63 citations up to the end of 2013
  51. 63 citations up to the end of 2013
  52. 62 citations up to the end of 2013
  53. 62 citations up to the end of 2013
  54. 61 citations up to the end of 2013
  55. 61 citations up to the end of 2013
  56. 61 citations up to the end of 2013
  57. 61 citations up to the end of 2013
  58. 60 citations up to the end of 2013
  59. 60 citations up to the end of 2013
  60. 60 citations up to the end of 2013
  61. 60 citations up to the end of 2013
  62. 58 citations up to the end of 2013
  63. 58 citations up to the end of 2013
  64. 57 citations up to the end of 2013
  65. 57 citations up to the end of 2013
  66. 57 citations up to the end of 2013
  67. 56 citations up to the end of 2013
  68. 56 citations up to the end of 2013
  69. 56 citations up to the end of 2013
  70. 55 citations up to the end of 2013
  71. 54 citations up to the end of 2013
  72. 54 citations up to the end of 2013
  73. 54 citations up to the end of 2013
  74. 54 citations up to the end of 2013
  75. 54 citations up to the end of 2013
  76. 53 citations up to the end of 2013
  77. 53 citations up to the end of 2013
  78. 53 citations up to the end of 2013
  79. 53 citations up to the end of 2013
  80. 53 citations up to the end of 2013
  81. 53 citations up to the end of 2013
  82. 52 citations up to the end of 2013
  83. 51 citations up to the end of 2013
  84. 51 citations up to the end of 2013
  85. 49 citations up to the end of 2013
  86. 49 citations up to the end of 2013
  87. 49 citations up to the end of 2013
  88. 48 citations up to the end of 2013
  89. 48 citations up to the end of 2013
  90. 47 citations up to the end of 2013
  91. 47 citations up to the end of 2013
  92. 47 citations up to the end of 2013
  93. 47 citations up to the end of 2013
  94. 47 citations up to the end of 2013
  95. 47 citations up to the end of 2013
  96. 46 citations up to the end of 2013
  97. 46 citations up to the end of 2013
  98. 46 citations up to the end of 2013
  99. 45 citations up to the end of 2013
    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

  100. 45 citations up to the end of 2013