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

The 100 most highly cited papers of All Time (2017 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 2018-01-08. 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. 264 citations by math eprints up to the end of 2017
  2. 206 citations by math eprints up to the end of 2017
  3. 203 citations by math eprints up to the end of 2017
  4. 167 citations by math eprints up to the end of 2017
  5. 152 citations by math eprints up to the end of 2017
  6. 147 citations by math eprints up to the end of 2017
  7. 137 citations by math eprints up to the end of 2017
  8. 136 citations by math eprints up to the end of 2017
  9. 134 citations by math eprints up to the end of 2017
  10. 130 citations by math eprints up to the end of 2017
  11. 128 citations by math eprints up to the end of 2017
  12. 120 citations by math eprints up to the end of 2017
    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

  13. 119 citations by math eprints up to the end of 2017
  14. 117 citations by math eprints up to the end of 2017
    2-D Gravity and random matrices
    P. Di Francesco (Saclay), Paul H. Ginsparg (Los Alamos), Jean Zinn-Justin (Saclay). Jun 1993. 168 pp.
    Published in Phys.Rept. 254 (1995) 1-133
    LA-UR-93-1722, SACLAY-SPH-T-93-061
    DOI: 10.1016/0370-1573(94)00084-G
    e-Print: hep-th/9306153 | PDF

  15. 115 citations by math eprints up to the end of 2017
  16. 114 citations by math eprints up to the end of 2017
  17. 113 citations by math eprints up to the end of 2017
  18. 109 citations by math eprints up to the end of 2017
    Lie Superalgebras
    V.G. Kac (MIT, LNS). 1977. 89 pp.
    Published in Adv.Math. 26 (1977) 8-96
    DOI: 10.1016/0001-8708(77)90017-2

  19. 108 citations by math eprints up to the end of 2017
  20. 105 citations by math eprints up to the end of 2017
    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

  21. 99 citations by math eprints up to the end of 2017
  22. 98 citations by math eprints up to the end of 2017
    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

  23. 97 citations by math eprints up to the end of 2017
  24. 95 citations by math eprints up to the end of 2017
  25. 94 citations by math eprints up to the end of 2017
  26. 94 citations by math eprints up to the end of 2017
  27. 93 citations by math eprints up to the end of 2017
  28. 92 citations by math eprints up to the end of 2017
  29. 92 citations by math eprints up to the end of 2017
  30. 92 citations by math eprints up to the end of 2017
  31. 91 citations by math eprints up to the end of 2017
    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

  32. 91 citations by math eprints up to the end of 2017
  33. 91 citations by math eprints up to the end of 2017
    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

  34. 87 citations by math eprints up to the end of 2017
    On Unitary Representations of the Inhomogeneous Lorentz Group
    Eugene P. Wigner (Princeton U.). 1939. 56 pp.
    Published in Annals Math. 40 (1939) 149-204, Nucl.Phys.Proc.Suppl. 6 (1989) 9-64
    DOI: 10.2307/1968551
    Conference: C88-05-24

  35. 87 citations by math eprints up to the end of 2017
  36. 86 citations by math eprints up to the end of 2017
  37. 86 citations by math eprints up to the end of 2017
  38. 85 citations by math eprints up to the end of 2017
    The Topological vertex
    Mina Aganagic (Harvard U.), Albrecht Klemm (Humboldt U., Berlin), Marcos Marino (CERN), Cumrun Vafa (Harvard U. & Caltech). May 2003. 70 pp.
    Published in Commun.Math.Phys. 254 (2005) 425-478
    CALT-68-2439, HUTP-03-A032, HU-EP-03-24, CERN-TH-2003-111
    DOI: 10.1007/s00220-004-1162-z
    e-Print: hep-th/0305132 | PDF

  39. 83 citations by math eprints up to the end of 2017
  40. 81 citations by math eprints up to the end of 2017
    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

  41. 81 citations by math eprints up to the end of 2017
  42. 80 citations by math eprints up to the end of 2017
  43. 80 citations by math eprints up to the end of 2017
  44. 80 citations by math eprints up to the end of 2017
  45. 79 citations by math eprints up to the end of 2017
  46. 79 citations by math eprints up to the end of 2017
  47. 79 citations by math eprints up to the end of 2017
  48. 79 citations by math eprints up to the end of 2017
  49. 78 citations by math eprints up to the end of 2017
  50. 78 citations by math eprints up to the end of 2017
    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

  51. 78 citations by math eprints up to the end of 2017
  52. 78 citations by math eprints up to the end of 2017
  53. 78 citations by math eprints up to the end of 2017
  54. 78 citations by math eprints up to the end of 2017
  55. 77 citations by math eprints up to the end of 2017
  56. 77 citations by math eprints up to the end of 2017
  57. 77 citations by math eprints up to the end of 2017
    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

  58. 76 citations by math eprints up to the end of 2017
  59. 75 citations by math eprints up to the end of 2017
  60. 75 citations by math eprints up to the end of 2017
    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

  61. 74 citations by math eprints up to the end of 2017
    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

  62. 74 citations by math eprints up to the end of 2017
  63. 74 citations by math eprints up to the end of 2017
  64. 74 citations by math eprints up to the end of 2017
  65. 74 citations by math eprints up to the end of 2017
  66. 74 citations by math eprints up to the end of 2017
  67. 74 citations by math eprints up to the end of 2017
  68. 73 citations by math eprints up to the end of 2017
    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

  69. 73 citations by math eprints up to the end of 2017
  70. 72 citations by math eprints up to the end of 2017
    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

  71. 72 citations by math eprints up to the end of 2017
  72. 72 citations by math eprints up to the end of 2017
  73. 71 citations by math eprints up to the end of 2017
    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

  74. 71 citations by math eprints up to the end of 2017
  75. 70 citations by math eprints up to the end of 2017
    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

  76. 70 citations by math eprints up to the end of 2017
    Quantum field theory on noncommutative spaces
    Richard J. Szabo (Heriot-Watt U.). Sep 2001. 103 pp.
    Published in Phys.Rept. 378 (2003) 207-299
    HWM-01-35, EMPG-01-14
    DOI: 10.1016/S0370-1573(03)00059-0
    Invited talk at Conference: C01-07-16
    e-Print: hep-th/0109162 | PDF

  77. 70 citations by math eprints up to the end of 2017
  78. 69 citations by math eprints up to the end of 2017
    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

  79. 69 citations by math eprints up to the end of 2017
  80. 69 citations by math eprints up to the end of 2017
  81. 69 citations by math eprints up to the end of 2017
  82. 69 citations by math eprints up to the end of 2017
  83. 69 citations by math eprints up to the end of 2017
    Remodeling the B-model
    Vincent Bouchard (Harvard U., Phys. Dept.), Albrecht Klemm (Bonn U.), Marcos Marino (CERN), Sara Pasquetti (Neuchatel U.). Sep 2007. 83 pp.
    Published in Commun.Math.Phys. 287 (2009) 117-178
    BONN-TH-2007-07, CERN-PH-TH-2007-153, NEIP-07-03
    DOI: 10.1007/s00220-008-0620-4
    e-Print: arXiv:0709.1453 [hep-th] | PDF

  84. 68 citations by math eprints up to the end of 2017
  85. 68 citations by math eprints up to the end of 2017
  86. 68 citations by math eprints up to the end of 2017
  87. 66 citations by math eprints up to the end of 2017
  88. 66 citations by math eprints up to the end of 2017
  89. 66 citations by math eprints up to the end of 2017
  90. 65 citations by math eprints up to the end of 2017
  91. 64 citations by math eprints up to the end of 2017
  92. 64 citations by math eprints up to the end of 2017
  93. 64 citations by math eprints up to the end of 2017
  94. 64 citations by math eprints up to the end of 2017
  95. 63 citations by math eprints up to the end of 2017
  96. 63 citations by math eprints up to the end of 2017
  97. 62 citations by math eprints up to the end of 2017
  98. 62 citations by math eprints up to the end of 2017
  99. 62 citations by math eprints up to the end of 2017
  100. 62 citations by math eprints up to the end of 2017
    Introduction to SH Lie algebras for physicists
    Tom Lada, Jim Stasheff (North Carolina U.). Sep 1992. 14 pp.
    Published in Int.J.Theor.Phys. 32 (1993) 1087-1104
    UNC-MATH-92-2
    DOI: 10.1007/BF00671791
    e-Print: hep-th/9209099 | PDF