Cover Image

Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Gambini, Alessandro
Format:	Preprint
Published:	2017
Subjects:	Number Theory 11D75 (Primary), 11J25, 11P32, 11P55 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2
by: Han, Xue, et al.
Published: (2023)

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

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

The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer
by: Migliaccio, Alessandra, et al.
Published: (2026)

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

Some explicit results on the sum of a prime and an almost prime
by: Johnston, Daniel R., et al.
Published: (2022)

Twin primes and the $3$-sphere
by: Hambleton, Samuel A.
Published: (2024)

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

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

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

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

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)

The trigonometric polynomial on sums of two squares, an additive problem and generalisation
by: Ramare, Olivier, et al.
Published: (2025)

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

Strange and pseudo-differentiable functions with applications to prime partitions
by: Dong, Anji, et al.
Published: (2024)

Some results on a conjecture of de Polignac about numbers of the form $p + 2^k$
by: Chen, Yuda, et al.
Published: (2024)

Cusps of primes in dense subsequences -- Bypassing the $W$-trick
by: Ramaré, Olivier
Published: (2024)

Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups
by: Mistri, Raj Kumar, et al.
Published: (2026)

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

Two dimensional arithmetic progressions avoiding squares
by: Dietmann, Rainer, et al.
Published: (2026)

Integral Hasse principle for Markoff type cubic surfaces
by: Mishra, Hrishabh
Published: (2024)

An asymptotic formula with power-saving error term for counting prime solutions to a binary additive problem
by: Guria, Rachita
Published: (2024)

Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
by: Panraksa, Chatchawan, et al.
Published: (2026)

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

Positive density for Sun's $2^k+m$ conjecture
by: Han, Songlin, et al.
Published: (2026)

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

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

Large sieve inequalities with power moduli and Waring's problem
by: Baier, Stephan, et al.
Published: (2023)

The Kloosterman circle method and weighted representation numbers of quadratic forms
by: Jones, Edna
Published: (2024)

Sárközy's theorem in $\mathbf{F}_2[x]$
by: Kowalska, Aleksandra
Published: (2025)

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

On the sum of a prime and two Fibonacci numbers
by: Xu, Ji-Zhen, et al.
Published: (2025)

On the $abc$ and the $abcd$ conjectures
by: Pasten, Hector, et al.
Published: (2024)

On the Moments of Exponential Sums over r-Free Polynomials
by: Doyle, Ben
Published: (2025)

Least zero of pairs of additive cubic equations
by: Xiao, Yixiu, et al.
Published: (2025)

Polynomials assuming only local prime powers
by: Koprowski, Przemysław
Published: (2025)

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

Linear constellations in primes with arithmetic restrictions
by: Frei, Christopher, et al.
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)