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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
1Theorem $(1+1.9)$ on the Goldbach ConjectureJiamin Li, Jianya Liu2026-06#2
2On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro setsMeng Gao, Jinjiang Li, Linji Long, Min Zhang2026-02#2
3Cubic Waring-Goldbach problem with Piatetski-Shapiro primesLinji Long, Jinjiang Li, Min Zhang, Yankun Sui2025-11#2
4Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro setsXiaotian Li, Jinjiang Li, Min Zhang2025-11#2
5Gilbreath's conjecture: a Cramér random model and a deterministic analysisZachary Chase, Zach Hunter, Terence Tao2026-07#6
6Multiple Gauss sumsJianya Liu, Sizhe Xie2026-04#15
7A Bombieri-Vinogradov theorem for sectors in real quadratic number fieldsStephan Baier, Esrafil Ali Molla2025-09#17
8The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integerAlessandra Migliaccio, Alessandro Zaccagnini2026-03#18
9The exceptional set for Diophantine inequality with mixed powers of primesYu Fu, Linzhu Fu, Liqun Hu2026-04#29
10The reverse Goldbach problem and a refined Zsiflaw--Legeis theoremMichael Harm, Daniel R. Johnston2026-05#35
11An update on the Linnik--Goldbach problemDaniel R. Johnston, Tim Trudgian2026-05#35
12Primes and almost primes between cubesDaniel R. Johnston, Jonathan P. Sorenson, Simon N. Thomas, Jonathan E. Webster2026-01#35
13An effective Bombieri-Vinogradov error term for sifting problemsDaniel R. Johnston2025-10#35
14Primes in arithmetic progressions to large moduli and refinements of Harman's sieveRunbo Li2026-02#42
15The exceptional set of the Goldbach problemLasse Grimmelt, Gautami Bhowmik2026-07#47

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. Lieb19831,094
2Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities DOIÉlliott H. Lieb2002951
3The Hardy-Littlewood Method DOIR. C. Vaughan1997690
4Morrey spaces and Hardy-Littlewood maximal functionFilippo Chiarenza1987488
5Bounded gaps between primes DOIZhang Yitang2014466
6Hardy‐Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces DOIEiichi Nakai1994458
7Hardy-Littlewood theory for semigroups DOIN. Th. Varopoulos1985340
8On the Representation of a Larger Even Integer as the Sum of a Prime and the Product of at Most Two PrimesChen Jing-Run1973337
9Small gaps between primes DOIJames Maynard2014311
10The dual of an inequality of Hardy and Littlewood and some related inequalities DOIT. M. Flett1972285