Top Cited Articles of All Time (2017 edition) in math

The 100 most highly cited papers of All Time (2017 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 2017 editions

2017 reports for eprints

  1. 1377 citations up to the end of 2017
  2. 579 citations up to the end of 2017
  3. 546 citations up to the end of 2017
  4. 393 citations up to the end of 2017
  5. 320 citations up to the end of 2017
  6. 310 citations up to the end of 2017
  7. 263 citations up to the end of 2017
    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. 263 citations up to the end of 2017
  9. 261 citations up to the end of 2017
  10. 249 citations up to the end of 2017
  11. 223 citations up to the end of 2017
  12. 216 citations up to the end of 2017
  13. 213 citations up to the end of 2017
  14. 212 citations up to the end of 2017
  15. 190 citations up to the end of 2017
  16. 188 citations up to the end of 2017
    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

  17. 185 citations up to the end of 2017
  18. 179 citations up to the end of 2017
  19. 169 citations up to the end of 2017
    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. 158 citations up to the end of 2017
  21. 153 citations up to the end of 2017
  22. 150 citations up to the end of 2017
  23. 146 citations up to the end of 2017
  24. 137 citations up to the end of 2017
  25. 135 citations up to the end of 2017
    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

  26. 135 citations up to the end of 2017
  27. 132 citations up to the end of 2017
  28. 129 citations up to the end of 2017
  29. 127 citations up to the end of 2017
  30. 127 citations up to the end of 2017
    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

  31. 126 citations up to the end of 2017
  32. 124 citations up to the end of 2017
    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

  33. 122 citations up to the end of 2017
  34. 120 citations up to the end of 2017
  35. 120 citations up to the end of 2017
  36. 119 citations up to the end of 2017
  37. 119 citations up to the end of 2017
  38. 117 citations up to the end of 2017
  39. 112 citations up to the end of 2017
  40. 111 citations up to the end of 2017
  41. 110 citations up to the end of 2017
  42. 110 citations up to the end of 2017
  43. 109 citations up to the end of 2017
  44. 108 citations up to the end of 2017
  45. 108 citations up to the end of 2017
  46. 107 citations up to the end of 2017
  47. 105 citations up to the end of 2017
  48. 103 citations up to the end of 2017
  49. 101 citations up to the end of 2017
  50. 97 citations up to the end of 2017
  51. 96 citations up to the end of 2017
  52. 95 citations up to the end of 2017
  53. 94 citations up to the end of 2017
  54. 93 citations up to the end of 2017
    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

  55. 92 citations up to the end of 2017
  56. 91 citations up to the end of 2017
  57. 90 citations up to the end of 2017
  58. 89 citations up to the end of 2017
  59. 87 citations up to the end of 2017
  60. 87 citations up to the end of 2017
  61. 86 citations up to the end of 2017
  62. 85 citations up to the end of 2017
  63. 85 citations up to the end of 2017
  64. 85 citations up to the end of 2017
  65. 84 citations up to the end of 2017
  66. 84 citations up to the end of 2017
  67. 83 citations up to the end of 2017
  68. 83 citations up to the end of 2017
  69. 83 citations up to the end of 2017
  70. 82 citations up to the end of 2017
  71. 82 citations up to the end of 2017
  72. 82 citations up to the end of 2017
  73. 82 citations up to the end of 2017
    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

  74. 81 citations up to the end of 2017
  75. 81 citations up to the end of 2017
  76. 81 citations up to the end of 2017
  77. 80 citations up to the end of 2017
  78. 80 citations up to the end of 2017
    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

  79. 79 citations up to the end of 2017
  80. 79 citations up to the end of 2017
  81. 79 citations up to the end of 2017
  82. 79 citations up to the end of 2017
  83. 78 citations up to the end of 2017
  84. 78 citations up to the end of 2017
  85. 78 citations up to the end of 2017
  86. 78 citations up to the end of 2017
  87. 77 citations up to the end of 2017
  88. 77 citations up to the end of 2017
  89. 76 citations up to the end of 2017
  90. 76 citations up to the end of 2017
    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. 76 citations up to the end of 2017
  92. 76 citations up to the end of 2017
  93. 76 citations up to the end of 2017
  94. 76 citations up to the end of 2017
  95. 76 citations up to the end of 2017
  96. 75 citations up to the end of 2017
  97. 74 citations up to the end of 2017
  98. 74 citations up to the end of 2017
  99. 74 citations up to the end of 2017
  100. 73 citations up to the end of 2017