Top Cited Articles of All Time (2018 edition) in math

The 100 most highly cited papers of All Time (2018 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 2019-12-29. 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 2018 editions

2018 reports for eprints

  1. 1455 citations up to the end of 2018
  2. 607 citations up to the end of 2018
  3. 575 citations up to the end of 2018
  4. 439 citations up to the end of 2018
  5. 337 citations up to the end of 2018
  6. 337 citations up to the end of 2018
  7. 286 citations up to the end of 2018
    The Octonions
    John C. Baez (UC, Riverside, Math. Dept.). May 2001. 56 pp.
    Published in Bull.Am.Math.Soc. 39 (2002) 145-205, Erratum: Bull.Am.Math.Soc. 42 (2005) 213
    DOI: 10.1090/S0273-0979-01-00934-X, 10.1090/S0273-0979-05-01052-9
    e-Print: math/0105155 | PDF

  8. 275 citations up to the end of 2018
  9. 273 citations up to the end of 2018
  10. 259 citations up to the end of 2018
  11. 259 citations up to the end of 2018
  12. 247 citations up to the end of 2018
  13. 231 citations up to the end of 2018
  14. 223 citations up to the end of 2018
  15. 201 citations up to the end of 2018
  16. 198 citations up to the end of 2018
  17. 195 citations up to the end of 2018
  18. 193 citations up to the end of 2018
    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

  19. 186 citations up to the end of 2018
    Gromov–Witten theory and Donaldson–Thomas theory, I
    D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande (Unlisted). Dec 2, 2003. 23 pp.
    Published in Compos.Math. 142 (2006) no.05, 1263-1285
    ITEP-TH-61-03, IHES-M-03-67
    DOI: 10.1112/S0010437X06002302
    e-Print: math/0312059 | PDF

  20. 171 citations up to the end of 2018
  21. 169 citations up to the end of 2018
  22. 157 citations up to the end of 2018
  23. 155 citations up to the end of 2018
  24. 147 citations up to the end of 2018
  25. 147 citations up to the end of 2018
  26. 147 citations up to the end of 2018
    Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
    Jakob Ablinger (Linz U.), Johannes Blumlein (DESY, Zeuthen), Carsten Schneider (Linz U.). May 2011. 55 pp.
    Published in J.Math.Phys. 52 (2011) 102301
    DESY-11-033, DO-TH-11-12, SFB-CPP-11-24, LPN-11-24, DESY-11--033, DO--TH-11--12
    DOI: 10.1063/1.3629472
    e-Print: arXiv:1105.6063 [math-ph] | PDF

  27. 144 citations up to the end of 2018
  28. 144 citations up to the end of 2018
  29. 140 citations up to the end of 2018
  30. 139 citations up to the end of 2018
  31. 139 citations up to the end of 2018
  32. 137 citations up to the end of 2018
    Lectures on special Lagrangian submanifolds
    Nigel J. Hitchin (Oxford U.). Jul 1999. 3 pp.
    Published in AMS/IP Stud.Adv.Math. 23 (2001) 151-182
    Conference: C99-01-04.1 Proceedings
    e-Print: math/9907034 | PDF

  33. 136 citations up to the end of 2018
  34. 136 citations up to the end of 2018
  35. 134 citations up to the end of 2018
  36. 132 citations up to the end of 2018
    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

  37. 130 citations up to the end of 2018
  38. 128 citations up to the end of 2018
  39. 126 citations up to the end of 2018
  40. 125 citations up to the end of 2018
  41. 121 citations up to the end of 2018
  42. 120 citations up to the end of 2018
  43. 119 citations up to the end of 2018
  44. 115 citations up to the end of 2018
  45. 114 citations up to the end of 2018
  46. 114 citations up to the end of 2018
  47. 113 citations up to the end of 2018
  48. 112 citations up to the end of 2018
  49. 112 citations up to the end of 2018
    Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
    Jakob Ablinger (Linz U.), Johannes Blümlein (DESY, Zeuthen), Carsten Schneider (Linz U.). Feb 2013. 74 pp.
    Published in J.Math.Phys. 54 (2013) 082301
    DESY-12-210, DO-TH-13-01, SFB-CPP-12-91, LPN-12-125, DESY-12--210, DO--TH-13-01
    DOI: 10.1063/1.4811117
    e-Print: arXiv:1302.0378 [math-ph] | PDF

  50. 107 citations up to the end of 2018
  51. 106 citations up to the end of 2018
  52. 106 citations up to the end of 2018
  53. 103 citations up to the end of 2018
  54. 102 citations up to the end of 2018
  55. 100 citations up to the end of 2018
  56. 100 citations up to the end of 2018
  57. 96 citations up to the end of 2018
  58. 95 citations up to the end of 2018
  59. 94 citations up to the end of 2018
  60. 94 citations up to the end of 2018
  61. 94 citations up to the end of 2018
  62. 94 citations up to the end of 2018
  63. 94 citations up to the end of 2018
  64. 92 citations up to the end of 2018
  65. 92 citations up to the end of 2018
  66. 92 citations up to the end of 2018
  67. 92 citations up to the end of 2018
  68. 91 citations up to the end of 2018
  69. 91 citations up to the end of 2018
    Sasaki-Einstein Manifolds
    James Sparks (Oxford U., Inst. Math.). Apr 2010. 58 pp.
    Published in Surveys Diff.Geom. 16 (2011) 265-324
    DOI: 10.4310/SDG.2011.v16.n1.a6
    e-Print: arXiv:1004.2461 [math.DG] | PDF

  70. 91 citations up to the end of 2018
  71. 90 citations up to the end of 2018
  72. 90 citations up to the end of 2018
  73. 90 citations up to the end of 2018
  74. 89 citations up to the end of 2018
  75. 88 citations up to the end of 2018
  76. 87 citations up to the end of 2018
  77. 86 citations up to the end of 2018
  78. 86 citations up to the end of 2018
  79. 86 citations up to the end of 2018
  80. 86 citations up to the end of 2018
  81. 86 citations up to the end of 2018
    Universality for Random Tensors
    Razvan Gurau (Perimeter Inst. Theor. Phys.). Nov 2011. 52 pp.
    Published in Ann.Inst.H.Poincare Probab.Statist. 50 (2014) no.4, 1474-1525
    DOI: 10.1214/13-AIHP567
    e-Print: arXiv:1111.0519 [math.PR] | PDF

  82. 85 citations up to the end of 2018
  83. 84 citations up to the end of 2018
  84. 84 citations up to the end of 2018
  85. 84 citations up to the end of 2018
  86. 84 citations up to the end of 2018
  87. 83 citations up to the end of 2018
  88. 83 citations up to the end of 2018
  89. 83 citations up to the end of 2018
  90. 83 citations up to the end of 2018
  91. 82 citations up to the end of 2018
  92. 82 citations up to the end of 2018
  93. 82 citations up to the end of 2018
  94. 81 citations up to the end of 2018
  95. 81 citations up to the end of 2018
  96. 81 citations up to the end of 2018
  97. 81 citations up to the end of 2018
  98. 80 citations up to the end of 2018
    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

  99. 80 citations up to the end of 2018
  100. 79 citations up to the end of 2018