Who's Who in Landau's Problems Research
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The Top 100

Researchers active on Goldbach, twin primes, Legendre's conjecture, n2+1 primes, sieve methods, and the analytic techniques shared across Landau's four problems

Table Details

arXiv rank, OA rank, and zbMATH rank are the researcher's position in the composite score for each of three pipelines. For arXiv and OpenAlex a keyword match in a paper title counts at full weight and an abstract-only mention at half (A=0.5), so papers that only cite Landau's problems on prime numbers in passing are discounted; each composite is then 60% weighted paper count + 40% network or citation signal. zbMATH uses the MSC classes 11P32, 11N05, 11N35, 11N36, 11N32. The overall rank combines the three with a weighted order statistic, 70/20/10 on each researcher's best, middle and worst of the three ranks. A value in [square brackets] is an interpolated estimate; a plain number is measured. See the methodology for details.

RankNameInstitutionCountryarXiv rankOA rankzbMATH rankh-indexSourceFirst yearLast year
1Janos PintzAlfréd Rényi Institute of MathematicsHU1[92]226arx+zb19851985
2D. A. GoldstonSan Jose State UniversityUS2[92]621arx+zb19902023
3Trevor D. WooleyPurdue University West LafayetteUS16106628all_three19902026
4Alessandro ZaccagniniUniversity of ParmaIT6[85]2214arx+zb20072026
5Alessandro LanguascoUniversity of PaduaIT12[85]1312arx+zb19942024
6D. R. Heath-BrownUniversity of OxfordGB[46][60]745zb_only19782018
7Glyn HarmanRoyal Holloway University of LondonGB[46][60]819zb_only19911991
8Terence TaoUniversity of California, Los AngelesUS57252101all_three20252025
9Florian LucaStellenbosch UniversityZA56[75]528arx+zb20022019
10James MaynardUniversity of OxfordGB9[85]3711arx+zb20122025
11Frank MoralesMachine ScienceUS[103]1[59]0oa_only20262026
12M. Ram MurtyQueen's UniversityCA[44][72]1125zb_only20102010
13Henryk IwaniecRutgers UniversityUS116[53]350arx+zb19752010
14John B. FriedlanderUniversity of TorontoCA115[53]434arx+zb20092009
15Apoloniusz TyszkaHue UniversityVN[103]4[59]7oa_only20152019
16Gérald TenenbaumInstitut Élie Cartan de LorraineFR[44][72]1430zb_only20062023
17Stephan BaierRamakrishna Mission Vivekananda Educational and Research InstituteIN48[81]1214arx+zb20042024
18Peter D. T. A. ElliottUniversity of Colorado BoulderUS[44][72]1519zb_only19661999
19Paul PollackUniversity of GeorgiaUS18[85]2813arx+zb20242024
20Kevin FordUniversity of Illinois Urbana-ChampaignUS13[79]49-arx+zb20042024
21Marek WolfUniversity of WrocławPL7[98][61]11arxiv_only20012011
22Igor E. ShparlinskiUNSW SydneyAU103182142all_three20002015
23Jared Duker LichtmanStanford UniversityUS8[98][61]4arxiv_only20252025
24Yingchun CaiTongji UniversityCN[44][72]1727zb_only19892022
25Kaisa MatomäkiUniversity of TurkuFI15[79]4816arx+zb20202020
26R. C. VaughanPennsylvania State UniversityUS[44][72]1835zb_only19732022
27Jan MoserComenius University BratislavaSK10[98][61]10arxiv_only20152015
28Frank VegaClinical Pharmacology of MiamiUS[103]11[59]3oa_only20202021
29Carl PomeranceDartmouth CollegeUS95[72]939arx+zb19921992
30Jianya LiuShandong UniversityCN[46][72]2014zb_only20072026
31David M. Potts--[103]12[59]-oa_only20262026
32Andrea Corazza--[103]13[59]0oa_only20252025
33Yoichi MotohashiFinnish Academy of Science and LettersFI61[81]1619arx+zb19742014
34Victor Volfson--[103]14[59]0oa_only20192026
35Etienne FouvryCentre National de la Recherche ScientifiqueFR[46][72]2328zb_only20122012
36Joni TeräväinenUniversity of CambridgeGB4[85]1329arx+zb20212021
37Tianze WangHenan Academy of SciencesCN[46][72]242zb_only20212021
38Clifford KeebleUniversity of SouthamptonGB[103]17[59]3oa_only20262026
39Jinjiang LiChina University of Mining and Technology (Beijing)CN27[85]406arx+zb20172024
40Dieter WolkeUniversity of FreiburgDE[48][72]27-zb_only--
41William D. BanksUniversity of MissouriUS14[85]9121arx+zb20242024
42Min ZhangBeijing Information Science and Technology UniversityCN28[81]4144arx+zb20172024
43Runbo LiUniversity of MichiganUS22[98][54]-arxiv_only20232025
44Tsz Ho ChanKennesaw State UniversityUS23[98][54]8arxiv_only20052024
45C. Y. YildirimBoğaziçi UniversityTR17[85]822arx+zb20042007
46Gheorghe Robert Cîmpeanu--[84]24[59]0oa_only20262026
47Harold G. DiamondUniversity of Illinois Urbana-ChampaignUS[49][72]2919zb_only--
48Andrew GranvilleUniversité de MontréalCA38[81]3232arx+zb20002000
49Vivian KuperbergUniversité de MontréalCA25[98][54]3arxiv_only20202025
50András SárközyEötvös Loránd UniversityHU[49][72]3131zb_only19882023
51Will SawinPrinceton UniversityUS26[98][54]10arxiv_only20182018
52José I. LatorreCentre for Quantum TechnologiesSG16815[60]51arx+oa20132014
53Kayck Santos SilvaUniversidade de São PauloBR[84]28[59]0oa_only20262026
54Ritabrata MunshiTata Institute of Fundamental ResearchIN29[90][53]12arxiv_only20142022
55Germán SierraInstituto de Investigaciones Fisicoquímicas Teóricas y AplicadasAR16916[60]46arx+oa20132014
56Imre KátaiUniversité LavalCA[48][72]3415zb_only20072021
57Robert J. Lemke OliverTufts UniversityUS30[90][53]11arxiv_only20112024
58Ben GreenUniversity of OxfordGB11[85]16532arx+zb20042025
59Kathrin BringmannUniversity of CologneDE31[90][53]28arxiv_only20132025
60K. SoundararajanStanford UniversityUS19[85]11033arx+zb20062026
61Hongze LiShanghai Jiao Tong UniversityCN[48][72]36-zb_only20142014
62Diego MarquesUniversidade de BrasíliaBR32[90][53]14arxiv_only20082025
63Tristan FreibergUniversity of WaterlooCA33[90][53]4arxiv_only20112011
64Daniel R. JohnstonAustralian National UniversityAU21[85]1124arx+zb20212026
65Roger C. BakerBrigham Young UniversityUS79[72]3034arx+zb20172017
66D. SuryanarayanaAndhra UniversityIN[46][72]3920zb_only--
67J. P. KeatingUniversity of OxfordGB35[90][53]40arxiv_only20042004
68Jori MerikoskiUniversity of OxfordGB20[85]1332arx+zb20202024
69Chaohua JiaAcademy of Mathematics and Systems Science, Chinese Academy of SciencesCN[46][60]4211zb_only19952020
70Jean‐Marc DeshouillersCentre National de la Recherche ScientifiqueFR[46][60]4516zb_only20122012
71Damaris SchindlerUniversity of GöttingenDE39[90][53]7arxiv_only20152024
72Ayla GafniUniversity of MississippiUS40[90][53]-arxiv_only20252025
73Hugh Lowell MontgomeryUniversity of MichiganUS[44][60]4732zb_only19712026
74Danilo CostarelliUniversity of PerugiaIT[99]38[59]33oa_only20242026
75Alexandru ZaharescuUniversity of Illinois Urbana-ChampaignUS24[85]14724arx+zb20122012
76Tim BrowningInstitute of Science and Technology AustriaAT319513919all_three20052025
77Lasse GrimmeltUniversity of OxfordGB43[90][53]2arxiv_only20182024
78Alberto PerelliUniversity of GenoaIT127[70]3320arx+zb20082008
79Olivier RamaréChâteau GombertFR[44][60]5015zb_only19992025
80Angel KumchevTowson UniversityUS59[75]4412arx+zb20232023
81Hao PanNanjing University of Finance and EconomicsCN44[75]6117arx+zb20072025
82Shuntaro YamagishiInstitute of Science and Technology AustriaAT6446[61]5arx+oa20182025
83Guangshi LuShandong UniversityCN[46][60]5117zb_only20042011
84Jie WuInstitut Elie Cartan de Lorraine, CNRSFR147[59]35-arx+zb20102010
85H. J. WeberUniversity of VirginiaUS45[90][53]-arxiv_only20112012
86Jörg BrüdernUniversity of GöttingenDE991382619all_three19912024
87Felix Sidokhine--46[90][53]-arxiv_only20142022
88Zhixin LiuTianjin UniversityCN[46][60]53-zb_only20262026
89Zhefeng XuNorthwest UniversityCN[99]44[59]8oa_only20222024
90H. A. HelfgottUniversité Paris CitéFR37[81]10619arx+zb20182018
91Christian ElsholtzGraz University of TechnologyAT[44][60]5513zb_only20012026
92Jean-Louis NicolasUniversity of LyonFR[44][60]5616zb_only--
93Ben KaneUniversity of Hong KongHK49[90][54]12arxiv_only20142026
94Tian-Qing CaoBeijing University of Posts and TelecommunicationsCN[99]47[59]7oa_only20222026
95Adolf HildebrandUniversity of Illinois Urbana-ChampaignUS[44][60]5719zb_only--
96Cameron L. StewartUniversity of WaterlooCA[43][60]5820zb_only19912001
97Valeriia StarichkovaUniversity of CanberraAU51[90][54]2arxiv_only20242024
98Wenguang ZhaiChina University of Mining and Technology (Beijing)CN[43][60]5913zb_only20002000
99Sho TanimotoNagoya UniversityJP52[90][54]12arxiv_only20162026
100Alex KontorovichRutgers, The State University of New JerseyUS36[81]15513arx+zb20052025

Source column legend

The Source column records which of the pipelines ranked each researcher directly.

SourceCount
arx+zb32
zb_only27
arxiv_only21
oa_only12
all_three5
arx+oa3

Limitations

This list reflects publication output and citation network density, not subjective importance. A starting point, not a verdict.