Top Cited Articles during 2018 in math

The 100 most highly cited papers during 2018 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. 120 citations in 2018
  2. 56 citations in 2018
  3. 52 citations in 2018
  4. 42 citations in 2018
  5. 42 citations in 2018
  6. 40 citations in 2018
  7. 39 citations in 2018
  8. 38 citations in 2018
  9. 37 citations in 2018
  10. 35 citations in 2018
  11. 34 citations in 2018
  12. 34 citations in 2018
  13. 32 citations in 2018
  14. 32 citations in 2018
  15. 31 citations in 2018
  16. 30 citations in 2018
  17. 30 citations in 2018
  18. 29 citations in 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

  19. 27 citations in 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

  20. 26 citations in 2018
  21. 26 citations in 2018
  22. 25 citations in 2018
  23. 24 citations in 2018
  24. 23 citations in 2018
  25. 23 citations in 2018
  26. 23 citations in 2018
  27. 23 citations in 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

  28. 23 citations in 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

  29. 22 citations in 2018
  30. 21 citations in 2018
  31. 21 citations in 2018
  32. 21 citations in 2018
  33. 20 citations in 2018
  34. 20 citations in 2018
  35. 20 citations in 2018
  36. 20 citations in 2018
  37. 19 citations in 2018
  38. 19 citations in 2018
  39. 19 citations in 2018
  40. 19 citations in 2018
  41. 19 citations in 2018
  42. 18 citations in 2018
  43. 18 citations in 2018
  44. 18 citations in 2018
  45. 17 citations in 2018
  46. 17 citations in 2018
  47. 17 citations in 2018
  48. 16 citations in 2018
  49. 16 citations in 2018
  50. 16 citations in 2018
  51. 16 citations in 2018
  52. 15 citations in 2018
  53. 15 citations in 2018
  54. 15 citations in 2018
  55. 15 citations in 2018
    A K3 in $\phi^4$
    Francis Brown, Oliver Schnetz (Unlisted). Jun 21, 2010. 28 pp.
    Published in Duke Math.J. 161 (2012) no.10, 1817-1862
    DOI: 10.1215/00127094-1644201
    e-Print: arXiv:1006.4064 [math.AG] | PDF

  56. 15 citations in 2018
  57. 15 citations in 2018
  58. 14 citations in 2018
  59. 14 citations in 2018
  60. 14 citations in 2018
  61. 14 citations in 2018
  62. 14 citations in 2018
  63. 14 citations in 2018
  64. 14 citations in 2018
  65. 14 citations in 2018
  66. 14 citations in 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

  67. 14 citations in 2018
  68. 14 citations in 2018
  69. 14 citations in 2018
  70. 14 citations in 2018
  71. 13 citations in 2018
  72. 13 citations in 2018
  73. 13 citations in 2018
  74. 13 citations in 2018
  75. 13 citations in 2018
  76. 13 citations in 2018
  77. 13 citations in 2018
  78. 13 citations in 2018
  79. 13 citations in 2018
  80. 13 citations in 2018
  81. 12 citations in 2018
  82. 12 citations in 2018
  83. 12 citations in 2018
  84. 12 citations in 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

  85. 12 citations in 2018
  86. 12 citations in 2018
  87. 12 citations in 2018
  88. 12 citations in 2018
  89. 12 citations in 2018
  90. 12 citations in 2018
  91. 12 citations in 2018
  92. 12 citations in 2018
  93. 12 citations in 2018
  94. 11 citations in 2018
  95. 11 citations in 2018
  96. 11 citations in 2018
  97. 11 citations in 2018
  98. 11 citations in 2018
  99. 11 citations in 2018
  100. 11 citations in 2018