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Let $k$ and $n$ be natural numbers. Let $\omega_k(n)$ denote the number of distinct prime factors of $n$ with multiplicity $k$ as studied by Elma and the third author. We obtain asymptotic estimates for the first and the second moments of $\omega_k(n
Externí odkaz:
http://arxiv.org/abs/2409.11275
Let $\omega(n)$ denote the number of distinct prime factors of a natural number $n$. In 1917, Hardy and Ramanujan proved that $\omega(n)$ has normal order $\log \log n$ over naturals. In this work, we establish the first and the second moments of $\o
Externí odkaz:
http://arxiv.org/abs/2409.10430
Publikováno v:
Finite Fields Appl. 92(2023), Paper No. 102281, 22 pp
Let $k \geq 1$ be a natural number and $f \in \mathbb{F}_q[t]$ be a monic polynomial. Let $\omega_k(f)$ denote the number of distinct monic irreducible factors of $f$ with multiplicity $k$. We obtain asymptotic estimates for the first and the second
Externí odkaz:
http://arxiv.org/abs/2409.08559
Recommender systems have become integral to digital experiences, shaping user interactions and preferences across various platforms. Despite their widespread use, these systems often suffer from algorithmic biases that can lead to unfair and unsatisf
Externí odkaz:
http://arxiv.org/abs/2409.06916
Elected officials have privileged roles in public communication. In contrast to national politicians, whose posting content is more likely to be closely scrutinized by a robust ecosystem of nationally focused media outlets, sub-national politicians a
Externí odkaz:
http://arxiv.org/abs/2407.16014
Online discussions frequently involve conspiracy theories, which can contribute to the proliferation of belief in them. However, not all discussions surrounding conspiracy theories promote them, as some are intended to debunk them. Existing research
Externí odkaz:
http://arxiv.org/abs/2404.00141
Language models demonstrate fundamental abilities in syntax, semantics, and reasoning, though their performance often depends significantly on the inputs they process. This study introduces TSIS (Simplified TSID) and its variants:TSISD (TSIS with Dep
Externí odkaz:
http://arxiv.org/abs/2402.02164
Autor:
Ahn, Yongsu, Lin, Yu-Ru
Despite the benefits of personalizing items and information tailored to users' needs, it has been found that recommender systems tend to introduce biases that favor popular items or certain categories of items, and dominant user groups. In this study
Externí odkaz:
http://arxiv.org/abs/2312.17443
Autor:
Lin, Yu-Ru, Schwanke, Beth, Farzan, Rosta, Fan, Bonnie, Eslami, Motahhare, Shen, Hong, Fox, Sarah
This survey study focuses on public opinion regarding the use of algorithmic decision-making in government sectors, specifically in Allegheny County, Pennsylvania. Algorithms are becoming increasingly prevalent in various public domains, including bo
Externí odkaz:
http://arxiv.org/abs/2312.11497
The escalating food insecurity in Africa, caused by factors such as war, climate change, and poverty, demonstrates the critical need for advanced early warning systems. Traditional methodologies, relying on expert-curated data encompassing climate, g
Externí odkaz:
http://arxiv.org/abs/2311.10953