Results 51 to 60 of about 46,429 (244)

Market Consistent Valuation for Bitcoin Options With Long Memory in Conditional Volatility and Conditional Non‐Normality

Journal of Futures Markets, EarlyView.
ABSTRACT This paper investigates the economic consequences for Bitcoin options' prices of a long memory in conditional volatility and conditional non‐normality of Bitcoin returns. The arbitrage‐free prices of Bitcoin options are determined by market consistent valuation and the conditional Esscher transform. Monte Carlo estimates for option prices from
Tak Kuen Siu
wiley   +1 more source

On a divisibility problem [PDF]

Mathematica Bohemica, 2019
Let $p_1, p_2, \cdots$ be the sequence of all primes in ascending order. Using explicit estimates from the prime number theory, we show that if $ k \geq5 $, then (p_{k+1}-1)! \mid(\tfrac12 (p_{k +1} - 1))! p_ k!, which improves a previous result of
Shichun Yang, Florian Luca, Alain Togbé
doaj   +1 more source

Quasi-geometric infinite divisibility [PDF]

International Mathematical Journal 2 (2002), 551-567, 2021
The object of this paper is to introduce and study the concept of quasi-geometric infinite divisibility for distributions on $\bf R_+$. These distributions arise as mixing distributions of (discrete) geometric infinitely divisible Poisson mixtures. Several characterizations and closure properties are presented.
arxiv  

Deepening students' understanding of multiplication and division by exploring divisibility by nine [PDF]

, 2012
This paper explores how a focus on understanding divisibility rules can be used to help deepen students’ understanding of multiplication and division with whole numbers.
Mills, Judith Patricia, Young-Loveridge, Jennifer   +1 more
core   +1 more source

Combinatorial proofs of some properties of tangent and Genocchi numbers

, 2018
The tangent number $T_{2n+1}$ is equal to the number of increasing labelled complete binary trees with $2n+1$ vertices. This combinatorial interpretation immediately proves that $T_{2n+1}$ is divisible by $2^n$.
Han, Guo-Niu, Liu, Jing-Yi
core   +2 more sources

Toward a Solution of Archdeacon's Conjecture on Integer Heffter Arrays

Journal of Combinatorial Designs, EarlyView.
ABSTRACT In this article, we make significant progress on a conjecture proposed by Dan Archdeacon on the existence of integer Heffter arrays H(m,n;s,k) ${\rm{H}}(m,n;s,k)$ whenever the necessary conditions hold, that is, 3⩽s⩽n $3\leqslant s\leqslant n$, 3⩽k⩽m $3\leqslant k\leqslant m$, ms=nk $ms=nk$ and nk≡0,3(mod4) $nk\equiv 0,3\,(\mathrm{mod}\,4 ...
Marco Antonio Pellegrini, Tommaso Traetta   +1 more
wiley   +1 more source

New constructions of divisible design Cayley graphs [PDF]

arXiv, 2021
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. Further, divisible design graphs which can be obtained as Cayley graphs were recently studied by Kabanov and Shalaginov. In this paper we give new constructions of divisible design Cayley graphs and classify divisible design Cayley graphs on $v \le 27$ vertices.
arxiv  

Characteristic Varieties of Hypersurface Complements [PDF]

, 2016
We give divisibility results for the (global) characteristic varieties of hypersurface complements expressed in terms of the local characteristic varieties at points along one of the irreducible components of the hypersurface.
Liu, Yongqiang, Maxim, Laurentiu
core  

Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems

Journal of Graph Theory, EarlyView.
ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh, Domagoj Bradač, Bernard Lidický   +2 more
wiley   +1 more source

The 2‐divisibility of divisors on K3 surfaces in characteristic 2

Mathematische Nachrichten, EarlyView.
Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura, Shigeyuki Kondō, Matthias Schütt   +2 more
wiley   +1 more source