P-adic valuation - Open Access .click

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, 2017
Let K be a field equipped with a valuation. Tropical varieties over K can be defined with a theory of Gr{\"o}bner bases taking into account the valuation of K.
Vaccon, Tristan, Yokoyama, Kazuhiro
core +2 more sources

p-adic valuations and k-regular sequences

Discrete Mathematics, 2007
The author characterizes the polynomials $f$ in $\mathbb Q_p[x]$ such that the sequence of $p$-adic valuations $(v_p(f(n)))_{n\geq 0}$ is $p$-regular (in the sense of \textit{J.-P. Allouche} and \textit{J. Shallit} [Theor. Comput. Sci. 98, No.
openaire +1 more source

Two variants of the support problem for products of abelian varieties and tori

, 2009
Let G be the product of an abelian variety and a torus defined over a number field K. Let P and Q be K-rational points on G. Suppose that for all but finitely many primes p of K the order of (Q mod p) divides the order of (P mod p).
Antonella Perucca +14 more
core +2 more sources

Cumulative Social Disadvantage and Disease Activity in Juvenile Idiopathic Arthritis: A Childhood Arthritis and Rheumatology Research Alliance Registry Study

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
wiley +1 more source

A precise description of the p-adic valuation of the number of alternating sign matrices

, 2009
Following Sun and Moll, we study v_p(T(N)), the p-adic valuation of the counting function of the alternating sign matrices. We find an exact analytic expression for it that exhibits the fluctuating behaviour, by means of Fourier coefficients.
CLEMENS HEUBERGER +4 more
core +2 more sources

Decisions Under Radical Uncertainty: The Role of Volitional Liminality in Radical Innovation

Journal of Product Innovation Management, EarlyView.
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
wiley +1 more source

Images of Real Representations of $SL_n(Z_p)$

, 2016
In this paper, we investigate abstract homomorphism from the special linear group over complete discrete valuation rings with finite residue field, such as the ring of p-adic integers, into the general linear group over the reals.
Humphreys, Niven, POOJA SINGLA, TALIA FERNÓS +3 more
core +1 more source

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
wiley +1 more source

$p$-regularity of the $p$-adic valuation of the Fibonacci sequence [PDF]

, 2015
We show that the $p$-adic valuation of the sequence of Fibonacci numbers is a $p$-regular sequence for every prime $p$. For $p \neq 2, 5$, we determine that the rank of this sequence is $\alpha(p) + 1$, where $\alpha(m)$ is the restricted period length ...
Medina, Luis A., Rowland, Eric
core +1 more source

Epistemic authenticity

Noûs, Volume 60, Issue 2, Page 413-432, June 2026.
Abstract There are better and worse ways to acquire epistemic virtues and more generally to be disposed to change or maintain one's epistemic dispositions over time. This is a dimension along which one might be better or worse as an epistemic agent that, we argue, cannot be explained with reference to current normative categories in epistemology but ...
Laura Frances Callahan, Michael C. Rea
wiley +1 more source

diophantine equation