The classification of $p$-divisible groups over $2$-adic discrete valuation rings [PDF]
Let $\mathscr{O}_K$ be a 2-adic discrete valuation ring with perfect residue field $k$. We classify $p$-divisible groups and $p$-power order finite flat group schemes over $\mathscr{O}_K$ in terms of certain Frobenius module over $\mathfrak{S}:=W(k)[[u]]$.
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Torsion-free groups with indecomposable holonomy group. I
We study the torsion-free generalized crystallographic groups with indecomposable holonomy group which is isomorphic to either C-p, or C-p x C ...
Bódi, Viktor +5 more
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Congruence classes of 2-adic valuations of Stirling numbers of the second kind
We analyze congruence classes of $S(n,k)$, the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna and Moll, which those authors established for $k\le5$. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for $k=
Bennett, Curtis, Mosteig, Edward
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Trace functions and Galois invariant p-adic measures [PDF]
Let p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp, and Cp the completion of Qp with respect to the p-adic valuation.
M. Vâjâitu +3 more
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On the 2-Adic Valuation of Differences of Harmonic Numbers
After having defined the harmonic numbers \(H_{n} = \sum_{k=1}^{n} 1 / k \) (with \(H_0 = 0\)), their differences \(H_{n} - H_{m} = \sum_{k=m+1}^{n} 1 / k \) (with \(0 \leq m \leq n-1\)), and the base \(2\) expansion of \(n\) as \(n=\sum_{i=1}^{t} 2^{a_{i}}\) (being \(a_{i} \in \mathbb{N}\)), the author recalls from \textit {K.
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2-Adic valuations of coefficients of certain integer powers of formal power series
Let [Formula: see text] be an integer sequence and [Formula: see text] be its ordinary generating function. In this paper, we study the behavior of 2-adic valuations of the sequence [Formula: see text], where [Formula: see text] is fixed and [Formula: see text] More precisely, we propose a method, which under suitable assumptions on the sequence ...
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Draft of 2-adic Valuation Trees for Natural Numbers in the Visualization of Hexagon
Objectives: This article discovers the 2-adic valuation trees for natural numbers arranged in a hexagonal shape, which provides specific patterns. Methods: The natural numbers are arranged in the form of hexagon and 2-adic valuation trees are constructed by calculating 2-adic valuations for special patterns of numbers presented in the above arrangement
V Pandichelvi, R Vanaja
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A PRECISE DESCRIPTION OF THE p-ADIC VALUATION OF THE NUMBER OF ALTERNATING SIGN MATRICES
Following Sun and Moll ([4]), we study vp(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 behavior, by means of Fourier coefficients.
CLEMENS HEUBERGER, HELMUT PRODINGER
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Constructing Galois 2-extensions of the 2-adic Numbers
Let Q_2 denote the field of 2-adic numbers, and let G be a group of order 2^n for some positive integer n. We provide an implementation in the software program GAP of an algorithm due to Yamagishi that counts the number of nonisomorphic Galois extensions
Schrader, Jade +2 more
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Exploring values, context and perceptions in contingent valuation studies: the CV Market Stall technique and willingness to pay for wildlife conservation. [PDF]
Public preferences for conservation and environmental management may be identified in willingness to pay (WTP) studies. Normally part of a contingent valuation exercise, WTP studies elicit monetary estimates of non-market economic goods.
Lorna J Philip +5 more
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