Cover Image

Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Saito, Kota
Format:	Preprint
Published:	2023
Subjects:	Number Theory 11D04, 11K55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sufficient conditions for solvability of linear Diophantine equations, and Frobenius numbers
by: Samsonadze, Eteri
Published: (2024)

On the number of representations of integers as differences between Piatetski-Shapiro numbers
by: Yoshida, Yuuya
Published: (2021)

Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
by: Yoshida, Yuuya
Published: (2024)

Ergodicity and Algebraticity of the Fast and Slow Triangle Maps
by: Garrity, Thomas, et al.
Published: (2024)

Twisted rational zeros of linear recurrence sequences
by: Bilu, Yuri, et al.
Published: (2024)

On a Pair of Diophantine Equations
by: Arachchi, Sujith Uthsara Kalansuriya, et al.
Published: (2023)

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

A Pair of Diophantine Equations Involving the Fibonacci Numbers
by: Chen, Xuyuan, et al.
Published: (2024)

Sharpening Vahlen's result in Diophantine approximation
by: Bakhtawar, Ayreena, et al.
Published: (2025)

Diophantine Approximation with Piatetski-Shapiro Primes
by: Baier, Stephan, et al.
Published: (2024)

On one of Erdős' Problems -- An Efficient Search for Benelux Pairs
by: Hercher, Christian
Published: (2025)

Simultaneous Diophantine approximation to points on the Veronese curve
by: Badziahin, Dzmitry
Published: (2024)

A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard
by: Hauke, Manuel
Published: (2025)

Simultaneous Diophantine approximation on the three dimensional Veronese curve
by: Badziahin, Dmitry
Published: (2025)

Non-Salem sets in multiplicative Diophantine approximation
by: Tan, Bo, et al.
Published: (2024)

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

Uniform Diophantine approximation and run-length function in continued fractions
by: Tan, Bo, et al.
Published: (2023)

Problems Regarding a Pair of Diophantine Equations
by: Chu, Hung Viet, et al.
Published: (2025)

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

A Pair of Diophantine Equations and Fibonacci-Like Sequences
by: Chu, Hung Viet, et al.
Published: (2025)

Thin subbases of Piatetski-Shapiro sequences
by: Táfula, Christian
Published: (2026)

Additive Ramsey theory over Piatetski-Shapiro numbers
by: Chapman, Jonathan, et al.
Published: (2024)

Counting solutions to quadratic polynomials
by: Kumaraswamy, V. Vinay
Published: (2024)

Relatively prime pairs in the Piatetski-Shapiro sequences
by: Suzuki, Yuta
Published: (2024)

Improved lower bounds for strong $n$-conjectures
by: Hölzl, Rupert, et al.
Published: (2024)

Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
by: Tan, Bo, et al.
Published: (2024)

Essential dimension of sequences of quadratic Pfister forms
by: Bingöl, Fatma Kader, et al.
Published: (2025)

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

Sums of two symbols in $K_2(F)/2K_2(F)$ in characteristic two
by: Barry, Demba, et al.
Published: (2026)

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

An uncountable subring of $\mathbb R$ with Hausdorff dimension zero
by: Baier, Stephan, et al.
Published: (2024)

Diophantine equation related to angle bisectors and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2022)

Hausdorff measures of sets in Exact Diophantine approximation
by: Tan, Bo, et al.
Published: (2025)

Pell equation: A generalization of continued fraction and Chakravala algorithms using the LLL-algorithm
by: Liberati, Jose I.
Published: (2023)

On the Continued Fraction Expansion of Almost All Real Numbers
by: Jin, Alex, et al.
Published: (2024)

Lower bounds for the Hausdorff dimension of expressible sets
by: Gravgaard, Maiken, et al.
Published: (2026)

A Dedekind-Rademacher cocycle for Bianchi groups
by: Klinger-Logan, Kim, et al.
Published: (2025)

A sharp threshold for arithmetic effects on the tail probabilities of lacunary sums
by: Aistleitner, Christoph, et al.
Published: (2025)

Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
by: Dhanda, Kavita, et al.
Published: (2025)

The Piatetski-Shapiro prime number theorem
by: Guo, Lingyu, et al.
Published: (2025)