Results 31 to 40 of about 25,324 (178)

2-adic Valuations of Square Spiral Sequences

, 2021
The study of p-adic valuations is connected to the problem of factorization of integers, an essential question in number theory and computer science. Given a nonzero integer n and prime number p, the p-adic valuation of n, which is commonly denoted as νp(
Nguyen, Minh
core  

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

2-adic Valuations of Generalized Fibonacci Numbers of Odd Order

Integers, 2016
See the abstract in the attached pdf.
openaire   +3 more sources

The 2-adic valuations of differences of Stirling numbers of the second kind

Journal of Number Theory, 2015
Let $m, n, k$ and $c$ be positive integers. Let $ν_2(k)$ be the 2-adic valuation of $k$. By $S(n,k)$ we denote the Stirling numbers of the second kind. In this paper, we first establish a convolution identity of the Stirling numbers of the second kind and provide a detailed 2-adic analysis to the Stirling numbers of the second kind.
Zhao, Wei, Zhao, Jianrong, Hong, Shaofang   +2 more
openaire   +2 more sources

The Effect of Protein Tagging on Aggregation and Phase Separation

Journal of Cellular Biochemistry, Volume 127, Issue 6, June 2026.
ABSTRACT Protein tags are widely used for purification, solubilization, detection, and imaging, yet they can substantially alter protein self‐assembly. This interference is particularly significant for intrinsically disordered proteins and low‐complexity domains, whose aggregation and phase separation are mediated by weak multivalent interactions that ...
Harunobu Saito, Kenji Sugase
wiley   +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

SQUARES IN (2² - 1)…(n² - 1) AND p-ADIC VALUATION

, 2010
In this paper, we determine all the squares in the sequence [Formula: see text]. From this, one deduces that there are infinitely many squares in this sequence. We also give a formula for the p-adic valuation of the terms in this sequence.
Shaofang Hong, Xingjiang Liu
core   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

p-adic Valuation of Exponential Sums in One Variable Associated to Binomials

, 2017
In this paper we compute the p-adic valuation of exponential sums associated to binomials F(X) = aXd₁ + bXd₂ over Fp. In particular, its p-adic valuation is constant for a, b ∈ F∗p . As a byproduct of our results, we obtain a lower bound for the sizes of
Francis N. Castro, Raúl Figueroa, Puhua Guan   +2 more
core   +1 more source

The 2-adic valuations of Stirling numbers of the first kind

, 2018
Let $n$ and $k$ be positive integers. We denote by $v_2(n)$ the 2-adic valuation of $n$. The Stirling numbers of the first kind, denoted by $s(n,k)$, counts the number of permutations of $n$ elements with $k$ disjoint cycles. In recent years, Lengyel, Komatsu and Young, Leonetti and Sanna, and Adelberg made some progress on the $p$-adic valuations of ...
Qiu, Min, Hong, Shaofang
openaire   +2 more sources