Image de couverture de livre

Quantitative correlations and some problems on prime factors of consecutive integers

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Tao, Terence, Teräväinen, Joni
Format:	Preprint
Publié:	2025
Sujets:	Number Theory
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
par: Tao, Terence, et autres
Publié: (2021)

Gaussian almost primes in almost all narrow sectors
par: Järviniemi, Olli, et autres
Publié: (2023)

Quantitative asymptotics for polynomial patterns in the primes
par: Matthiesen, Lilian, et autres
Publié: (2024)

Products of consecutive integers with unusual anatomy
par: Tao, Terence
Publié: (2026)

Almost primes in almost all short intervals II
par: Matomäki, Kaisa, et autres
Publié: (2022)

Products of primes in arithmetic progressions
par: Matomäki, Kaisa, et autres
Publié: (2023)

Pointwise convergence of bilinear polynomial averages over the primes
par: Krause, Ben, et autres
Publié: (2024)

Rough numbers between consecutive primes
par: Gafni, Ayla, et autres
Publié: (2025)

The Exceptional Set in Goldbach's Problem with two Chen Primes
par: Grimmelt, Lasse, et autres
Publié: (2025)

Linnik's problem for multiplicative functions
par: Matomäki, Kaisa, et autres
Publié: (2026)

Higher uniformity of arithmetic functions in short intervals I. All intervals
par: Matomäki, Kaisa, et autres
Publié: (2022)

On the Liouville function at polynomial arguments
par: Teräväinen, Joni
Publié: (2020)

A note on zero density results implying large value estimates for Dirichlet polynomials
par: Matomäki, Kaisa, et autres
Publié: (2024)

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
par: Matomäki, Kaisa, et autres
Publié: (2024)

Pointwise convergence of ergodic averages with Möbius weight
par: Teräväinen, Joni
Publié: (2024)

The sum-product problem for integers with few prime factors
par: Hanson, Brandon, et autres
Publié: (2023)

More on the sum-product problem for integers with few prime factors
par: Agrawal, Rishika, et autres
Publié: (2025)

On the Green-Tao theorem for sparse sets
par: Teräväinen, Joni, et autres
Publié: (2026)

Beyond the Erdős discrepancy problem in function fields
par: Klurman, Oleksiy, et autres
Publié: (2022)

On the largest prime factor of integers in short intervals III
par: Li, Runbo
Publié: (2026)

An explicit lower bound for large gaps between some consecutive primes
par: Sono, Keiju
Publié: (2024)

Infinite partial sumsets in the primes
par: Tao, Terence, et autres
Publié: (2023)

The variance of integers without small prime factors in short intervals
par: Gorodetsky, Ofir
Publié: (2021)

Arbitrarily long strings of consecutive primes in special sets
par: Balakrishnan, Sai Sanjeev, et autres
Publié: (2023)

Bounded gaps and perfect power gaps in sequences of consecutive primes
par: Gyarmati, Katalin
Publié: (2026)

Primes in arithmetic progressions and short intervals without $L$-functions
par: Matomäki, Kaisa, et autres
Publié: (2024)

Representing integers as sums of mixed powers of primes
par: Andrade, Geovane Matheus Lemes, et autres
Publié: (2025)

The behaviour of a certain additive function in large intervals between consecutive primes
par: Rassias, Michael Th.
Publié: (2024)

On Artin's conjecture on average and short character sums
par: Klurman, Oleksiy, et autres
Publié: (2024)

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
par: Browning, Tim, et autres
Publié: (2022)

Exponential sums over integers without large prime divisors
par: Drappeau, Sary, et autres
Publié: (2024)

On several irrationality problems for Ahmes series
par: Kovač, Vjekoslav, et autres
Publié: (2024)

Regularized products of Gauss and Eisenstein integers and primes
par: Krapivsky, P. L., et autres
Publié: (2025)

A large integer is a sum of two prime avoiding numbers
par: Radomskii, Artyom
Publié: (2022)

On integers with many representations as the sum of $k$th powers of primes
par: Aggarwal, Anay
Publié: (2025)

Large prime gaps and probabilistic models
par: Banks, William, et autres
Publié: (2019)

Note on shifted primes with large prime factors
par: Ding, Yuchen, et autres
Publié: (2025)

On the representation of large even integers as the sum of eight primes from positive density sets
par: Gao, Meng
Publié: (2024)

More on consecutive multiplicatively dependent triples of integers
par: Bennett, Michael A., et autres
Publié: (2024)

On certain sums involving the largest prime factor over integer sequences
par: Bouderbala, Mihoub
Publié: (2025)