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Frequency Distribution of Prime Numbers between an Integer and its Square: A Case Study
The chronicle of prime numbers travel back thousands of years in human history. Not only the traits of prime numbers have surprised people, but also all those endeavors made for ages to find a pattern in the appearance of prime numbers has been ...
Muhammad, Tashreef +3 more
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On product sets of arithmetic progressions
On product sets of arithmetic progressions, Discrete Analysis 2023:10, 31 pp. The _multiplication table problem_ is a very simply stated question of Erdős: how many numbers appear in the multiplication table of the numbers from 1 to $n$?
Max Wenqiang Xu, Yunkun Zhou
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Primes and the Lambert W function
The Lambert W function, implicitly defined by W ( x ) e
Matt Visser
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On the Distribution of the Number of Prime Factors of Sums a + b [PDF]
Let \(A\) and \(B\) be two subsets of positive integers not exceeding \(x\). Let their cardinalities be denoted by \(|A|\) and \(|B|\). For any positive integer \(n\) put \(\nu(n) = \sum_{p|n}1\) and \(\Omega(n) = \sum_{p^{\alpha}|| n} \alpha\). For real v, put \(\Phi(v) = (2\pi)^{-}\int^{v}_{-\infty}e^{-u^2/2} du.\) The authors continue a series of ...
Erdős, Paul, Maier, H., Sárközy, A.
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ABSTRACT Background Pediatric sarcomas are a heterogeneous group of tumors that contribute disproportionately to cancer mortality in children. Although congenital anomalies are among the strongest known risk factors for childhood cancer, the risk of specific sarcoma subtypes among affected individuals has not yet been thoroughly evaluated. Procedure We
Russ Wolters +17 more
wiley +1 more source
Harmonic numbers, harmonic series and zeta function
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
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Ticks and tick‐borne diseases (TBDs) form a significant and growing threat to human health and well‐being in Europe, with increasing numbers of tick‐borne encephalitis (TBE) and Lyme borreliosis cases being reported during the past few decades ...
Jani J. Sormunen +5 more
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Conjetura de GOLDBACH, números naturales y teorema de números primos
Mediante el uso de Geogebra en el siguiente manuscrito se realiza un análisis de la conjetura de Goldbach, posteriormente se comprueba mediante expresiones algebraicas que siempre existe una cantidad mínima de elementos primos que hacen que se cumpla la ...
Yandry Marcelo Intriago Delgado
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