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

The 100 most highly cited papers of All Time (2018 edition) cited by papers 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. 298 citations by math eprints up to the end of 2018
  2. 233 citations by math eprints up to the end of 2018
  3. 232 citations by math eprints up to the end of 2018
  4. 229 citations by math eprints up to the end of 2018
  5. 206 citations by math eprints up to the end of 2018
  6. 186 citations by math eprints up to the end of 2018
  7. 171 citations by math eprints up to the end of 2018
  8. 160 citations by math eprints up to the end of 2018
  9. 159 citations by math eprints up to the end of 2018
  10. 145 citations by math eprints up to the end of 2018
    Quantization of Lie Groups and Lie Algebras
    L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg). 1987. 16 pp.
    Published in Leningrad Math.J. 1 (1990) 193-225, Alg.Anal. 1 (1989) no.1, 178-206
    LOMI-E-14-87

  11. 142 citations by math eprints up to the end of 2018
  12. 141 citations by math eprints up to the end of 2018
  13. 140 citations by math eprints up to the end of 2018
  14. 138 citations by math eprints up to the end of 2018
  15. 137 citations by math eprints up to the end of 2018
  16. 131 citations by math eprints up to the end of 2018
  17. 130 citations by math eprints up to the end of 2018
    The Quantum Inverse Problem Method. 1 (In Russian)
    L.D. Faddeev, E.K. Sklyanin, L.A. Takhtajan (Steklov Math. Inst., St. Petersburg). 1979. 35 pp.
    Published in Theor.Math.Phys. 40 (1980) 688-706, Teor.Mat.Fiz. 40 (1979) 194-220
    LOMI-P-1-79

  18. 130 citations by math eprints up to the end of 2018
  19. 128 citations by math eprints up to the end of 2018
  20. 125 citations by math eprints up to the end of 2018
  21. 124 citations by math eprints up to the end of 2018
    Hopf algebras and the quantum Yang-Baxter equation
    V.G. Drinfeld (Kharkov, Inst. Low Temp. Phys.). 1985. 5 pp.
    Published in Sov.Math.Dokl. 32 (1985) 254-258, Dokl.Akad.Nauk Ser.Fiz. 283 (1985) 1060-1064

  22. 123 citations by math eprints up to the end of 2018
  23. 120 citations by math eprints up to the end of 2018
  24. 117 citations by math eprints up to the end of 2018
  25. 113 citations by math eprints up to the end of 2018
    Gromov-Witten classes, quantum cohomology, and enumerative geometry
    M. Kontsevich, Yu. Manin (Bonn, Max Planck Inst., Math.). Mar 1, 1994. 42 pp.
    Published in Commun.Math.Phys. 164 (1994) 525-562, AMS/IP Stud.Adv.Math. 1 (1996) 607-653
    DOI: 10.1007/BF02101490
    e-Print: hep-th/9402147 | PDF

  26. 113 citations by math eprints up to the end of 2018
    Topological quantum field theories
    M. Atiyah. 1989. 12 pp.
    Published in Inst.Hautes Etudes Sci.Publ.Math. 68 (1989) 175-186
    DOI: 10.1007/BF02698547

  27. 113 citations by math eprints up to the end of 2018
  28. 109 citations by math eprints up to the end of 2018
  29. 107 citations by math eprints up to the end of 2018
  30. 105 citations by math eprints up to the end of 2018
    Calculation Of Norms Of Bethe Wave Functions
    V.E. Korepin (Saclay). 1982. 28 pp.
    Published in Commun.Math.Phys. 86 (1982) 391-418
    DOI: 10.1007/BF01212176

  31. 105 citations by math eprints up to the end of 2018
  32. 103 citations by math eprints up to the end of 2018
  33. 101 citations by math eprints up to the end of 2018
  34. 101 citations by math eprints up to the end of 2018
  35. 101 citations by math eprints up to the end of 2018
  36. 100 citations by math eprints up to the end of 2018
  37. 99 citations by math eprints up to the end of 2018
  38. 99 citations by math eprints up to the end of 2018
  39. 98 citations by math eprints up to the end of 2018
  40. 97 citations by math eprints up to the end of 2018
    The Quantum method of the inverse problem and the Heisenberg XYZ model
    L.A. Takhtajan, L.D. Faddeev (Steklov Math. Inst., St. Petersburg). 1979. 58 pp.
    Published in Russ.Math.Surveys 34 (1979) no.5, 11-68, Usp.Mat.Nauk 34 (1979) no.5, 13-63

  41. 95 citations by math eprints up to the end of 2018
  42. 95 citations by math eprints up to the end of 2018
  43. 94 citations by math eprints up to the end of 2018
  44. 93 citations by math eprints up to the end of 2018
  45. 92 citations by math eprints up to the end of 2018
  46. 92 citations by math eprints up to the end of 2018
  47. 92 citations by math eprints up to the end of 2018
  48. 92 citations by math eprints up to the end of 2018
  49. 91 citations by math eprints up to the end of 2018
  50. 90 citations by math eprints up to the end of 2018
  51. 90 citations by math eprints up to the end of 2018
  52. 89 citations by math eprints up to the end of 2018
  53. 89 citations by math eprints up to the end of 2018
  54. 88 citations by math eprints up to the end of 2018
    A Simple Proof of the Positive Energy Theorem
    Edward Witten (Princeton U.). Jan 1981. 37 pp.
    Published in Commun.Math.Phys. 80 (1981) 381
    Print-81-0057 (PRINCETON)
    DOI: 10.1007/BF01208277

  55. 88 citations by math eprints up to the end of 2018
  56. 88 citations by math eprints up to the end of 2018
  57. 88 citations by math eprints up to the end of 2018
  58. 88 citations by math eprints up to the end of 2018
  59. 88 citations by math eprints up to the end of 2018
  60. 88 citations by math eprints up to the end of 2018
  61. 88 citations by math eprints up to the end of 2018
  62. 87 citations by math eprints up to the end of 2018
  63. 87 citations by math eprints up to the end of 2018
  64. 87 citations by math eprints up to the end of 2018
    Factorizing Particles on a Half Line and Root Systems
    I.V. Cherednik (Moscow State U.). 1985. 10 pp.
    Published in Theor.Math.Phys. 61 (1984) 977-983, Teor.Mat.Fiz. 61 (1984) 35-44
    DOI: 10.1007/BF01038545

  65. 87 citations by math eprints up to the end of 2018
  66. 87 citations by math eprints up to the end of 2018
  67. 87 citations by math eprints up to the end of 2018
  68. 86 citations by math eprints up to the end of 2018
  69. 85 citations by math eprints up to the end of 2018
    The Planar Approximation. 2.
    C. Itzykson, J.B. Zuber (Saclay). Jun 1979. 27 pp.
    Published in J.Math.Phys. 21 (1980) 411
    SACLAY-DPh-T 79/82
    DOI: 10.1063/1.524438
    Conference: C80-06-02

  70. 84 citations by math eprints up to the end of 2018
  71. 84 citations by math eprints up to the end of 2018
  72. 83 citations by math eprints up to the end of 2018
  73. 82 citations by math eprints up to the end of 2018
    Planar Diagrams
    E. Brezin, C. Itzykson, G. Parisi, J.B. Zuber (Saclay). Nov 1977. 20 pp.
    Published in Commun.Math.Phys. 59 (1978) 35
    SACLAY-DPH-T-77-126
    DOI: 10.1007/BF01614153

  74. 81 citations by math eprints up to the end of 2018
    Dynamical Breaking of Supersymmetry
    Edward Witten (Princeton U.). May 1981. 42 pp.
    Published in Nucl.Phys. B188 (1981) 513
    Print-81-0317 (PRINCETON)
    DOI: 10.1016/0550-3213(81)90006-7

  75. 81 citations by math eprints up to the end of 2018
    Geometry of 2-D topological field theories
    Boris Dubrovin (SISSA, Trieste). Jul 22, 1994. 204 pp.
    Published in Lect.Notes Math. 1620 (1996) 120-348
    SISSA-89-94-FM
    DOI: 10.1007/BFb0094793
    Conference: C93-06-14.7 Proceedings
    e-Print: hep-th/9407018 | PDF

  76. 81 citations by math eprints up to the end of 2018
  77. 81 citations by math eprints up to the end of 2018
  78. 80 citations by math eprints up to the end of 2018
  79. 79 citations by math eprints up to the end of 2018
  80. 79 citations by math eprints up to the end of 2018
  81. 79 citations by math eprints up to the end of 2018
  82. 78 citations by math eprints up to the end of 2018
  83. 78 citations by math eprints up to the end of 2018
  84. 78 citations by math eprints up to the end of 2018
    The Yang-Mills equations over Riemann surfaces
    M.F. Atiyah (Oxford U.), R. Bott (Harvard U.). 1982. 93 pp.
    Published in Phil.Trans.Roy.Soc.Lond. A308 (1982) 523-615

  85. 78 citations by math eprints up to the end of 2018
  86. 78 citations by math eprints up to the end of 2018
  87. 78 citations by math eprints up to the end of 2018
  88. 77 citations by math eprints up to the end of 2018
  89. 77 citations by math eprints up to the end of 2018
  90. 77 citations by math eprints up to the end of 2018
  91. 77 citations by math eprints up to the end of 2018
  92. 76 citations by math eprints up to the end of 2018
    Quantized space-time
    Hartland S. Snyder (Northwestern U.). May 1946. 4 pp.
    Published in Phys.Rev. 71 (1947) 38-41
    DOI: 10.1103/PhysRev.71.38

  93. 76 citations by math eprints up to the end of 2018
  94. 76 citations by math eprints up to the end of 2018
  95. 75 citations by math eprints up to the end of 2018
  96. 75 citations by math eprints up to the end of 2018
  97. 74 citations by math eprints up to the end of 2018
  98. 73 citations by math eprints up to the end of 2018
  99. 73 citations by math eprints up to the end of 2018
  100. 72 citations by math eprints up to the end of 2018