Top Cited Articles of All Time (2016 edition) in math

The 100 most highly cited papers of All Time (2016 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 2016 editions

2016 reports for eprints

  1. 1270 citations up to the end of 2016
  2. 549 citations up to the end of 2016
  3. 524 citations up to the end of 2016
  4. 374 citations up to the end of 2016
  5. 313 citations up to the end of 2016
  6. 283 citations up to the end of 2016
  7. 244 citations up to the end of 2016
  8. 241 citations up to the end of 2016
    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

  9. 237 citations up to the end of 2016
  10. 228 citations up to the end of 2016
  11. 210 citations up to the end of 2016
  12. 195 citations up to the end of 2016
  13. 193 citations up to the end of 2016
  14. 193 citations up to the end of 2016
  15. 182 citations up to the end of 2016
    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

  16. 172 citations up to the end of 2016
  17. 169 citations up to the end of 2016
  18. 166 citations up to the end of 2016
  19. 158 citations up to the end of 2016
    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. 147 citations up to the end of 2016
  21. 144 citations up to the end of 2016
  22. 143 citations up to the end of 2016
  23. 134 citations up to the end of 2016
    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

  24. 133 citations up to the end of 2016
  25. 130 citations up to the end of 2016
  26. 124 citations up to the end of 2016
  27. 122 citations up to the end of 2016
  28. 121 citations up to the end of 2016
  29. 118 citations up to the end of 2016
    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

  30. 117 citations up to the end of 2016
  31. 117 citations up to the end of 2016
  32. 115 citations up to the end of 2016
  33. 115 citations up to the end of 2016
  34. 114 citations up to the end of 2016
  35. 112 citations up to the end of 2016
  36. 110 citations up to the end of 2016
  37. 109 citations up to the end of 2016
  38. 107 citations up to the end of 2016
    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

  39. 105 citations up to the end of 2016
  40. 101 citations up to the end of 2016
  41. 100 citations up to the end of 2016
  42. 99 citations up to the end of 2016
  43. 97 citations up to the end of 2016
  44. 95 citations up to the end of 2016
  45. 94 citations up to the end of 2016
  46. 94 citations up to the end of 2016
  47. 93 citations up to the end of 2016
  48. 93 citations up to the end of 2016
  49. 92 citations up to the end of 2016
  50. 90 citations up to the end of 2016
  51. 89 citations up to the end of 2016
  52. 88 citations up to the end of 2016
  53. 88 citations up to the end of 2016
  54. 86 citations up to the end of 2016
  55. 85 citations up to the end of 2016
  56. 85 citations up to the end of 2016
  57. 84 citations up to the end of 2016
  58. 83 citations up to the end of 2016
  59. 83 citations up to the end of 2016
  60. 81 citations up to the end of 2016
  61. 80 citations up to the end of 2016
  62. 80 citations up to the end of 2016
  63. 79 citations up to the end of 2016
  64. 79 citations up to the end of 2016
  65. 79 citations up to the end of 2016
  66. 78 citations up to the end of 2016
  67. 78 citations up to the end of 2016
  68. 78 citations up to the end of 2016
    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

  69. 77 citations up to the end of 2016
  70. 77 citations up to the end of 2016
  71. 77 citations up to the end of 2016
  72. 76 citations up to the end of 2016
  73. 76 citations up to the end of 2016
  74. 76 citations up to the end of 2016
  75. 75 citations up to the end of 2016
  76. 75 citations up to the end of 2016
  77. 75 citations up to the end of 2016
  78. 75 citations up to the end of 2016
  79. 74 citations up to the end of 2016
  80. 74 citations up to the end of 2016
  81. 74 citations up to the end of 2016
  82. 73 citations up to the end of 2016
    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

  83. 73 citations up to the end of 2016
  84. 73 citations up to the end of 2016
  85. 73 citations up to the end of 2016
  86. 73 citations up to the end of 2016
  87. 72 citations up to the end of 2016
    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

  88. 72 citations up to the end of 2016
  89. 71 citations up to the end of 2016
  90. 71 citations up to the end of 2016
  91. 71 citations up to the end of 2016
    Hodge integrals and Gromov-Witten theory
    C. Faber, R. Pandharipande. Oct 30, 1998. 27 pp.
    Published in Inventiones mathematicae 139 (2000) no.1, 173-199
    DOI: 10.1007/s002229900028
    e-Print: math/9810173 | PDF

  92. 71 citations up to the end of 2016
  93. 70 citations up to the end of 2016
  94. 70 citations up to the end of 2016
  95. 69 citations up to the end of 2016
  96. 69 citations up to the end of 2016
  97. 69 citations up to the end of 2016
    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

  98. 68 citations up to the end of 2016
  99. 68 citations up to the end of 2016
  100. 68 citations up to the end of 2016