Who's Who in Goldbach Research
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Recent papers

Recent papers on the Goldbach conjecture, surfaced by the prominence of their authors in this directory.

Showing 15 papers, ranked by the Top 100 standing of their authors then by recency. Authors who appear in the Top 100 are shown in bold.

#TitleAuthorsPublishedBest rank
1The main conjecture for a Vinogradov subsystemTrevor D. Wooley2026-10#2
2Theorem $(1+1.9)$ on the Goldbach ConjectureJiamin Li, Jianya Liu2026-06#6
3Multiple Gauss sumsJianya Liu, Sizhe Xie2026-04#6
4Gilbreath's conjecture: a Cramér random model and a deterministic analysisZachary Chase, Zach Hunter, Terence Tao2026-07#7
5Polynomial corners in finite fields beyond the distinct-degree caseJi Li, Chun-Yen Shen, Tuyen Trung Truong, Liangchuan Wu2026-09#16
6On Piatetski-Shapiro primes from almost primesYuhua Zhao, Jinjiang Li, Linji Long, Min Zhang2026-08#16
7On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro setsMeng Gao, Jinjiang Li, Linji Long, Min Zhang2026-02#16
8Cubic Waring-Goldbach problem with Piatetski-Shapiro primesLinji Long, Jinjiang Li, Min Zhang, Yankun Sui2025-11#16
9Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro setsXiaotian Li, Jinjiang Li, Min Zhang2025-11#16
10The average number of representations of an integer as a sum of three or more primes, over multiples of a fixed integerAlessandra Migliaccio, Alessandro Zaccagnini2026-10#21
11The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integerAlessandra Migliaccio, Alessandro Zaccagnini2026-03#21
12A weaker but simpler sieve inequalityJohn B. Friedlander2026-07#23
13Average twin prime conjecture for elliptic curves in arithmetic progressionsAhmet M. Güloğlu, Asimina S. Hamakiotes, Sung Min Lee, Tian Wang2026-08#24
14Bilinear forms with trace functionsÉtienne Fouvry, Emmanuel Kowalski, Philippe Michel, Will Sawin2025-11#37
15Exponential sums over primesJames Maynard, Mayank Pandey, Maksym Radziwiłł2026-08#40

Most cited (all time)

The ten most-cited Mathematics works on the Goldbach conjecture, by citation count in OpenAlex. Results are filtered to the Mathematics field (OpenAlex field 26) and ranked by total citations.

The Top 100 ranking is designed to capture prominent, currently active researchers. If an author in this table is not linked to a profile, it is usually because they are deceased or less active than the researchers in the ranking, not because they are less significant to the field.

#TitleAuthorsYearCitations
1Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities DOIÉlliott H. Lieb19831,101
2Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities DOIÉlliott H. Lieb2002849
3The Hardy-Littlewood Method DOIRobert Charles Vaughan1997678
4Selected problems on exceptional setsLennart Carleson1967580
5Morrey spaces and Hardy-Littlewood maximal functionFilippo Chiarenza1987458
6Bounded gaps between primes DOIZhang Yitang2014451
7Hardy‐Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces DOIEiichi Nakai1994449
8Hardy-Littlewood theory for semigroups DOINicholas Th. Varopoulos1985320
9On the Representation of a Larger Even Integer as the Sum of a Prime and the Product of at Most Two PrimesChen Jing-Run1973314
10Small gaps between primes DOIJames Maynard2014303