Top Cited Articles during 2015 in math

The 100 most highly cited papers during 2015 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 2015 editions

2015 reports for eprints

  1. 90 citations in 2015
  2. 71 citations in 2015
  3. 61 citations in 2015
  4. 43 citations in 2015
  5. 43 citations in 2015
  6. 42 citations in 2015
  7. 33 citations in 2015
  8. 33 citations in 2015
  9. 30 citations in 2015
  10. 29 citations in 2015
  11. 27 citations in 2015
  12. 27 citations in 2015
    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

  13. 27 citations in 2015
  14. 27 citations in 2015
  15. 26 citations in 2015
  16. 25 citations in 2015
  17. 24 citations in 2015
  18. 23 citations in 2015
    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

  19. 22 citations in 2015
  20. 22 citations in 2015
  21. 22 citations in 2015
  22. 21 citations in 2015
  23. 21 citations in 2015
  24. 21 citations in 2015
  25. 21 citations in 2015
  26. 20 citations in 2015
  27. 20 citations in 2015
  28. 20 citations in 2015
  29. 20 citations in 2015
  30. 20 citations in 2015
  31. 19 citations in 2015
  32. 18 citations in 2015
  33. 18 citations in 2015
  34. 18 citations in 2015
  35. 18 citations in 2015
  36. 17 citations in 2015
    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

  37. 17 citations in 2015
  38. 17 citations in 2015
  39. 17 citations in 2015
  40. 17 citations in 2015
  41. 17 citations in 2015
  42. 17 citations in 2015
  43. 17 citations in 2015
  44. 17 citations in 2015
  45. 17 citations in 2015
  46. 17 citations in 2015
  47. 17 citations in 2015
  48. 16 citations in 2015
  49. 16 citations in 2015
  50. 16 citations in 2015
  51. 16 citations in 2015
  52. 16 citations in 2015
  53. 16 citations in 2015
  54. 16 citations in 2015
    KP hierarchy for Hodge integrals
    M. Kazarian. Sep 18, 2008. 21 pp.
    Published in Adv.Math. 221 (2009) no.1, 1-21
    DOI: 10.1016/j.aim.2008.10.017
    e-Print: arXiv:0809.3263 [math.AG] | PDF

  55. 15 citations in 2015
  56. 15 citations in 2015
  57. 15 citations in 2015
  58. 15 citations in 2015
  59. 15 citations in 2015
  60. 14 citations in 2015
  61. 14 citations in 2015
  62. 14 citations in 2015
  63. 14 citations in 2015
  64. 14 citations in 2015
  65. 14 citations in 2015
    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

  66. 14 citations in 2015
  67. 13 citations in 2015
  68. 13 citations in 2015
  69. 13 citations in 2015
  70. 13 citations in 2015
    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

  71. 13 citations in 2015
  72. 13 citations in 2015
  73. 13 citations in 2015
  74. 13 citations in 2015
  75. 13 citations in 2015
  76. 12 citations in 2015
  77. 12 citations in 2015
  78. 12 citations in 2015
  79. 12 citations in 2015
  80. 12 citations in 2015
    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

  81. 12 citations in 2015
  82. 12 citations in 2015
  83. 12 citations in 2015
  84. 12 citations in 2015
  85. 12 citations in 2015
  86. 12 citations in 2015
    Toda equations for Hurwitz numbers
    Andrei Okounkov. Apr 19, 2000. 7 pp.
    Published in Math.Res.Lett. 7 (2000) no.4, 447-453
    DOI: 10.4310/MRL.2000.v7.n4.a10
    e-Print: math/0004128 | PDF

  87. 12 citations in 2015
  88. 11 citations in 2015
  89. 11 citations in 2015
  90. 11 citations in 2015
  91. 11 citations in 2015
  92. 11 citations in 2015
  93. 11 citations in 2015
    Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams
    Jakob Ablinger (Linz U.), Johannes Blumlein (DESY, Zeuthen), Sebastian Klein (Aachen, Tech. Hochsch.), Carsten Schneider (Linz U.). Jun 2010. 6 pp.
    Published in Nucl.Phys.Proc.Suppl. 205-206 (2010) 110-115
    DESY-10-090, TTK-10-37, SFB-CPP-10-53
    DOI: 10.1016/j.nuclphysbps.2010.08.028
    To appear in the proceedings of Conference: C10-04-25 Proceedings
    e-Print: arXiv:1006.4797 [math-ph] | PDF

  94. 11 citations in 2015
  95. 11 citations in 2015
  96. 10 citations in 2015
  97. 10 citations in 2015
  98. 10 citations in 2015
  99. 10 citations in 2015
  100. 10 citations in 2015