Results 21 to 30 of about 25,324 (178)
On the 2-adic valuation of (a^b-c^d)
, 2021 In this paper will be proved an inequality regarding $v_2(a^{b}-c^{d})$. Using this formula it will be possible to have informations about the divisibility of 2 of this function without computing it. Then, will be studied the behavior of this function when it approaches infinity and there will be a lot of analogies with 2-adic integers. This result may
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The 2-adic Valuation of Plane Partitions and Totally Symmetric Plane Partitions [PDF]
The Electronic Journal of Combinatorics, 2012 This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an $n$-cube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when $n$ is even, and less when $n$ is odd.
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Torsion-free crystallographic groups with indecomposable holonomy group II. [PDF]
, 2004 Let K be a principal ideal domain, G a finite group, and M a KG-module which is a free K-module of finite rank on which G acts faithfully. A generalized crystallographic group is a non-split extension C of M by G such that conjugation in C induces the G ...
Bódi, Viktor +3 more
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L-series and their 2-adic valuations at s=1 attached to CM elliptic curves [PDF]
Acta Arithmetica, 2002 Let \(D\) be an integer. In this paper the authors consider the 2-adic values of the Hecke \(L\)-series \(L(\psi,s)\) attached to \(E\) at \(s=1\). The first case previously considered was that in which \(D\) was a perfect square in \(\mathbb{Z}[\sqrt{-1}]\) [\textit{C. L. Zhao}, Math. Proc. Camb. Philos. Soc. 121, 385-400 (1997; Zbl 0882.11039)].
Qiu, Derong, Zhang, Xianke
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The ergodicity of 1-Lipschitz transformations on 2-adic spheres
, 2014 In this paper we present results about ergodicity of dynamical systems on 2-adic spheres for 1-Lipschitz maps f : Z(2) -> Z(2) announced in [8], and extension of Theorem 3 from [8] for the case of spheres of radii greater than 1/8.
Ekaterina Yurova +1 more
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Comptes Rendus. MathématiqueWe prove some triviality results for reduced Whitehead groups and reduced unitary Whitehead groups for division algebras over a Henselian discrete valuation field whose residue field has virtual cohomological dimension or separable dimension $\le 2 ...
Hu, Yong, Tian, Yisheng
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Arthritis Care &Research, EarlyView.Objective Social determinants of health (SDOH) contribute to juvenile idiopathic arthritis (JIA) disparities, but most studies have assessed SDOH independently rather than cumulatively across individual, family, and neighborhood levels. Using a socioecological framework, we investigated the relationship among cumulative social disadvantage ...
William Daniel Soulsby +448 more
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Periodontology 2000, EarlyView.Abstract Background Understanding periodontal diseases through a biological lens has been a central aim in periodontal research. Visionary pioneers in the field established the foundations of our knowledge, providing invaluable insights into disease mechanisms and progression.
Nagihan Bostanci +2 more
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The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
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Decisions Under Radical Uncertainty: The Role of Volitional Liminality in Radical Innovation
Journal of Product Innovation Management, Volume 43, Issue 4, Page 592-615, July 2026.ABSTRACT Academic Summary Radical innovation management can be understood as an organizational practice that enacts distant futures, which are open‐ended and unknowable. Such radical innovation endeavors are thus characterized by radical uncertainty, where possible futures are not only quantitatively but qualitatively different from the present, and ...
José Antonio Rosa +2 more
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