Cover Image

Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Han, Xue, Liu, Huafeng
Format:	Preprint
Published:	2023
Subjects:	Number Theory 11P05, 11P32, 11P55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Goldbach problem with restricted primes
by: Harm, Michael
Published: (2026)

An update on the Linnik--Goldbach and Romanov problems
by: Johnston, Daniel R., et al.
Published: (2026)

On the average number of representations of an integer as a sum of polynomials computed at prime values
by: Migliaccio, Alessandra, et al.
Published: (2026)

Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
by: Gambini, Alessandro
Published: (2017)

Average orders of Goldbach Estimates in Arithmetic Progressions
by: Nguyen, Thi Thu
Published: (2024)

On Waring's problem for intermediate powers
by: Wooley, Trevor D.
Published: (2016)

Density ternary Goldbach for primes in a fixed residue class
by: Alsetri, Ali
Published: (2025)

On the representation of integer as sum of a square-free number and a prime of special type
by: Todorova, T. L.
Published: (2025)

Prime Solutions of Diagonal Diophantine Systems
by: Talmage, Alan
Published: (2022)

Partitio Numerorum: sums of squares and higher powers
by: Bruedern, Joerg, et al.
Published: (2024)

Additive representation in short intervals, II: sums of two like powers
by: Bruedern, Joerg, et al.
Published: (2015)

On Waring's problem: beyond Freiman's theorem
by: Bruedern, Joerg, et al.
Published: (2023)

On Vu's restricted box estimate in Waring's problem
by: Táfula, Christian
Published: (2026)

The Asymptotic Binary Goldbach and Lemoine Conjectures
by: Agama, Theophilus, et al.
Published: (2017)

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem
by: Harm, Michael, et al.
Published: (2026)

Exponential sums weighted by additive functions
by: Gafni, Ayla, et al.
Published: (2025)

Popular differences in primes along fractional powers
by: Çalım, Bora, et al.
Published: (2024)

Infinite partial sumsets in the primes
by: Tao, Terence, et al.
Published: (2023)

Small solutions to linear forms in primes
by: Dede, Tammo
Published: (2025)

Primes of the Form $m^2+1$ and Goldbach's `Other Other' Conjecture
by: Grantham, Jon, et al.
Published: (2025)

Random Diophantine Equations in the Primes
by: Holdridge, Philippa
Published: (2023)

Roth-type Theorem for high-power system in Piatetski-Shapiro primes (II)
by: Ren, Xiumin, et al.
Published: (2024)

The inverse problem for the Steiner--Wiener index via additive number theory
by: Bernert, Christian, et al.
Published: (2026)

Waring and Waring-Goldbach subbases with prescribed representation function
by: Táfula, Christian
Published: (2025)

The average number of Goldbach representations over multiples of $q$
by: Ikeda, Karin, et al.
Published: (2024)

Asymptotic formula for the sum of a prime and a square-full number in short intervals
by: Ogihara, Fumi, et al.
Published: (2024)

On Goldbach numbers in short intervals
by: Chirre, Andrés, et al.
Published: (2025)

Digitally Restricted Sets and the Goldbach Conjecture: An Exceptional Set Result
by: Cumberbatch, James
Published: (2024)

Asymptotic formula for the sum of a prime and a square-full number in short intervals shorter than $X^{1/2}$
by: Ogihara, Fumi
Published: (2025)

On almost primes solutions to forms of odd degrees in many variables
by: Magyar, Akos
Published: (2026)

On the sum of a prime and a square-free number co-prime to any integer with at most two prime factors
by: Lee, Ethan S., et al.
Published: (2025)

Integral solutions to systems of diagonal equations
by: Rome, Nick, et al.
Published: (2024)

Estimates for smooth Weyl sums on major arcs
by: Bruedern, Joerg, et al.
Published: (2024)

A nonabelian circle method
by: Arala, Nuno, et al.
Published: (2024)

The sum of a prime power and an almost prime
by: Johnston, Daniel R., et al.
Published: (2025)

The Average Number of Goldbach Representations and Zero-Free Regions of the Riemann Zeta-Function
by: Billington, Keith, et al.
Published: (2023)

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
by: Browning, Tim, et al.
Published: (2022)

Legendre-signed partition numbers
by: Daniels, Taylor
Published: (2024)

Periodic vanishings of the Legendre-17 signed partition numbers
by: Daniels, Taylor
Published: (2026)

An elementary heuristic for Hardy-Littlewood extended Goldbach's conjecture
by: Táfula, Christian
Published: (2015)