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
1On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro setsMeng Gao, Jinjiang Li, Linji Long, Min Zhang2026-02#4
2Cubic Waring-Goldbach problem with Piatetski-Shapiro primesLinji Long, Jinjiang Li, Min Zhang, Yankun Sui2025-11#4
3Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro setsXiaotian Li, Jinjiang Li, Min Zhang2025-11#4
4The Exceptional Set in Goldbach's Problem with two Chen PrimesLasse Grimmelt, Joni Teräväinen2025-08#5
5Large sieve inequality for sums of Legendre symbols over short intervalsIgor Shparlinski, Yixiu Xiao2026-04#7
6Multiple Gauss sumsJianya Liu, Sizhe Xie2026-04#8
7A Bombieri-Vinogradov theorem for sectors in real quadratic number fieldsStephan Baier, Esrafil Ali Molla2025-09#10
8Character sums to prime power moduli evaluated at binary quadratic formsStephan Baier, Aishik Chattopadhyay2025-08#10
9Rough numbers between consecutive primesAyla Gafni, Terence Tao2025-08#11
10The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integerAlessandra Migliaccio, Alessandro Zaccagnini2026-03#16
11On the discrete convolution of the Liouville and Möbius functionsMarco Cantarini, Alessandro Gambini, Alessandro Zaccagnini2026-03#16
12Primes and almost primes between cubesDaniel R. Johnston, Jonathan P. Sorenson, Simon N. Thomas, Jonathan E. Webster2026-01#28
13An effective Bombieri-Vinogradov error term for sifting problemsDaniel R. Johnston2025-10#28
14A Diophantine inequality with five squares of Piatetski-Shapiro primesS. I. Dimitrov2026-02#31
15Diophantine approximation with mixed powers of Piatetski-Shapiro primesS. I. Dimitrov2025-12#31

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
1On the Representation of a Larger Even Integer as the Sum of a Prime and the Product of at Most Two PrimesChen Jing-Run1973337
2The Ternary Goldbach Problem DOID. R. Heath‐Brown1985267
3Representation of an Odd Number as the Sum of Three PrimesIvan Matveevič Vinogradov1985222
4Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸ DOITomás Oliveira e Silva; Siegfried Herzog; Silvio Pardi2013165
5The ternary Goldbach conjecture is true DOIH. A. Helfgott201399
6On Goldbach's Problem : Proof that Almost all Even Positive Integers are Sums of Two Primes DOIT. Estermann193899
7On the sum of a prime and of two powers of two DOIRoger Crocker197183
8Integers represented as a sum of primes and powers of two DOID. R. Heath‐Brown; J.-C. Puchta200280
9On the Waring-Goldbach Problem for Fourth and Fifth Powers DOIKoichi Kawada; Trevor D. Wooley200175
10On the Waring-Goldbach problem for fourth and sixth powers DOILilu Zhao201474