Results 61 to 70 of about 618,965 (192)
On Fuchs' problem for finitely generated abelian groups: The small torsion case
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract A classical problem, raised by Fuchs in 1960, asks to classify the abelian groups which are groups of units of some rings. In this paper, we consider the case of finitely generated abelian groups, solving Fuchs' problem for such groups with the additional assumption that the torsion subgroups are small, for a suitable notion of small related ...
I. Del Corso, L. Stefanello
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The Ekström–Persson conjecture regarding random covering sets
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We consider the Hausdorff dimension of random covering sets formed by balls with centres chosen independently at random according to an arbitrary Borel probability measure on Rd$\mathbb {R}^d$ and radii given by a deterministic sequence tending to zero.
Esa Järvenpää +3 more
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Narayana Numbers With Zeckendorf Partition in Two Terms
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples.
N. Uthirasamy +5 more
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Additive Diophantine inequalities with mixed powers II
Mathematika, 1987 Let \(1\leq k_ 1\leq k_ 2...\leq k_ s\) be integers. The author considers the following, so-called inequality problem for \(k_ 1,...,k_ s:\) is it true, that for every s-tuple of non-zero real numbers \((\lambda_ 1,...,\lambda_ s)\) such that at least one quotient \(\lambda_ i/\lambda_ j\) is irrational, the values assumed by \(\sum^{s}_{i=1}\lambda_ ...
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Dynamical diophantine approximation exponents in characteristic p$p$
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3801-3818, December 2024.Abstract Let ϕ(z)$\phi (z)$ be a non‐isotrivial rational function in one‐variable with coefficients in F¯p(t)$\overline{\mathbb {F}}_p(t)$ and assume that γ∈P1(F¯p(t))$\gamma \in \mathbb {P}^1(\overline{\mathbb {F}}_p(t))$ is not a post‐critical point for ϕ$\phi$. Then we prove that the diophantine approximation exponent of elements of ϕ−m(γ)$\phi ^{-m}
Wade Hindes
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Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
, 2017 Let ...
Gambini, Alessandro
core
Diophantine inequalities in function fields [PDF]
Bulletin of the London Mathematical Society, 2009 This paper develops the Bentkus-Gotze-Freeman variant of the DavenportHeilbronn method for function fields in order to count Fq[t]-solutions to diagonal Diophantine inequalities in Fq((1/t)).
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Diophantine inequalities in complex quadratic fields
Publicationes mathematicae (Debrecen), 2022 L. Mordell
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Diophantine inequalities with mixed powers, II
Journal of Number Theory, 1979 AbstractIt is shown that if λ1, …, λ5 are non-zero real numbers, not all of the same sign, and at least one of the ratios λiλj (1 ≤ j ≤ 3) is irrational then the values taken by λ1x12 + λ2x22 + λ3x32 + λ4x43 + λ5x53 for integer values of x1, …, x5 are everywhere dense on the real line.
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