Cover Image

Growth rates of sequences governed by the squarefree properties of its translates

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	van Doorn, Wouter, Tao, Terence
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11B05, 11B50, 11N25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Coprimality of elements in regular sequences with polynomial growth
by: Deshouillers, Jean-Marc, et al.
Published: (2025)

On coprimality of consecutive elements in certain sequences
by: Deshouillers, Jean-Marc, et al.
Published: (2025)

Products of consecutive integers with unusual anatomy
by: Tao, Terence
Published: (2026)

Gaps in Multiplicative Sidon Sets
by: van Doorn, Wouter, et al.
Published: (2026)

Shifted-prime divisors
by: Fan, Steve, et al.
Published: (2024)

The level of distribution of the sum-of-digits function in arithmetic progressions
by: Toumi, Nathan
Published: (2025)

Lacunary sequences whose reciprocal sums represent all rational numbers in an interval
by: van Doorn, Wouter, et al.
Published: (2025)

Large prime gaps and probabilistic models
by: Banks, William, et al.
Published: (2019)

Gaps between quadratic forms
by: Iyer, Siddharth
Published: (2025)

Critical probabilistic characteristics of the Cramér model for primes and arithmetical properties
by: Weber, Michel
Published: (2021)

On the exponent of distribution for convolutions of $\mathrm{GL(2)}$ coefficients to smooth moduli
by: Yin, Rongjie
Published: (2025)

Comment on "On the squarefree density of polynomials"
by: Zarhin, Yuri G.
Published: (2024)

Primes and polygonal numbers
by: Bhattacharya, Soumya, et al.
Published: (2024)

Balanced Steinhaus triangles
by: Chappelon, Jonathan
Published: (2025)

The Beurling-Malliavin density, the Polya density and their connection
by: Giuliano, Rita, et al.
Published: (2024)

Global Product Intersection Sets in Semigroups
by: van Doorn, Wouter, et al.
Published: (2026)

Rough numbers between consecutive primes
by: Gafni, Ayla, et al.
Published: (2025)

Roth's Theorem in Super Smooth Numbers
by: Wijaya, Laurence P.
Published: (2025)

On the constants in Mertens' theorems for primes in arithmetic progressions
by: Keliher, Daniel, et al.
Published: (2023)

On the binomial transforms of Apéry-like sequences
by: Liu, Ji-Cai
Published: (2024)

Théorème d'Erdős-Kac dans un régime de grande déviation pour les translatés d'entiers ayant $k$ facteurs premiers
by: Garçonnet, Olivier
Published: (2024)

On primary Carmichael numbers
by: Kellner, Bernd C.
Published: (2019)

Fixed points of K-Fibonacci sequences
by: Benfield, Brennan, et al.
Published: (2024)

Bounded-box reductions in the Subbarao-Warren problem for unitary perfect numbers
by: Maciejewski, Tom
Published: (2026)

On zero-sum free sequences contained in random subsets of finite cyclic groups
by: Lee, Sang June, et al.
Published: (2020)

On moments of gaps between consecutive squarefree numbers
by: Chan, Tsz Ho
Published: (2023)

A note on non-integrality of the $(k,l)$-Göbel sequences
by: Kobayashi, Yuh, et al.
Published: (2024)

On Congruences for Iterates of the Sum--Power Divisor Function and Conditional Implications for the Riemann Hypothesis
by: Rafik, Zeraoulia, et al.
Published: (2021)

On product representations of squares
by: Tao, Terence
Published: (2024)

On nonconvex constellations among primes II: (458,3240)
by: Holt, Fred B.
Published: (2026)

Tantalizing properties of subsequences of the Fibonacci sequence modulo 10
by: Guyer, Dan, et al.
Published: (2021)

Permutation Patterns of the Iterated Syracuse Function
by: Nathanson, Melvyn B.
Published: (2023)

On additive complement with special structures
by: Mohan, et al.
Published: (2024)

Harmonic LCM patterns and sunflower-free capacity
by: Tang, Quanyu, et al.
Published: (2025)

Extremal densities for forbidden configurations in $S$-smooth numbers
by: Veselinov, Nikola
Published: (2026)

Resolving Adenwalla's conjecture related to a question of Erdős and Graham about covering systems
by: Jia, Zhengkun, et al.
Published: (2025)

Conditional Bounds for Prime Gaps with Applications
by: Grah, Jacques
Published: (2024)

Intervals without primes near an iterated linear recurrence sequence
by: Saito, Kota
Published: (2025)

Unbounded logarithmic limsup in Erdős problem 684
by: Bae, Ji Ho
Published: (2026)

Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture
by: Harrison, Joseph, et al.
Published: (2026)