Divisibility properties of polynomial expressions of random integers
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Publication:6150392
DOI10.1016/j.jnt.2024.01.017arXiv2311.05369MaRDI QIDQ6150392
Zakhar Kabluchko, Alexander Marynych
Publication date: 6 March 2024
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2311.05369
greatest common divisordivisibilityleast common multiplevaluationinteger-valued polynomialsprofinite integersLang-Weil bounds
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Arithmetic functions in probabilistic number theory (11K65) (p)-adic and power series fields (11D88)
Cites Work
- On the distribution of \(k\)-th power free integers. II
- On the distribution of \(k\)-th power free integers
- Equations over finite fields. An elementary approach
- Factors of iterated resultants and discriminants
- The probability of two integers to be co-prime, revisited -- on the behavior of CLT-scaling limit
- Squarefree values of multivariable polynomials
- Number theory -- probabilistic, heuristic, and computational approaches
- Divisibility properties of random samples of integers
- On the least common multiple of several random integers
- Some observations on the Furstenberg topological space
- The Asymptotic Density of Some k-Dimensional Sets
- Arithmetical Functions of a Greatest Common Divisor. I
- A stochastic interpretation of the Riemann zeta function.
- Ergodic and Statistical Properties of $\B$-Free Numbers
- PROBABILISTIC PROOF OF LIMIT THEOREMS IN NUMBER THEORY BY MEANS OF ADELES
- The Erdős-Kac theorem for polynomials of several variables
- Irreducible Subvarieties and Rational Points
- Number of Points of Varieties in Finite Fields
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