Results 31 to 40 of about 5,990,152 (267)
New Bounds for the Prime Counting Function
Integers, 2016 See the abstract in the attached pdf.
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola +4 more
wiley +1 more source
Analytic expressions for some Mellin transforms with their application to prime counting function and interpolation formulas for the zeta function [PDF]
, 2022 The aim of our present work here is to present few results in the theory of Mellin transforms using the method that S. Ramanujan used in proving his Master Theorem. Further applications of our results for some number-theoretic functions such as the prime
Atale, Omprakash
core
The Counting Functions of Prime Numbers
, 2023 The explicit analytical formula of prime counting function is derived for accurately calculating the number of primes less than or equal to N. The asymptotic behavior of the prime counting function at N approaching infinity is analyzed. The prime counting function is independent on the non-trivial zeros of Riemann zeta function which is proved to do ...
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
On the subsequence of primes having prime subscripts [PDF]
, 2009 We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there ...
Barnett, A. Ross, Broughan, Kevin A.
core
Discretization of prime counting functions, convexity and the Riemann hypothesis [PDF]
, 2010 summary:We study tails of prime counting functions. Our approach leads to representations with a main term and an error term for the asymptotic size of each tail. It is further shown that the main term is of a specific shape and can be written discretely
Alkan, Emre, Emre Alkan
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On Ramanujan's prime counting inequality
, 2022 In this paper, we give a new upper bound for the number $N_{\mathcal{R}}$ which is defined to be the smallest positive integer such that a certain inequality due to Ramanujan involving the prime counting function $\pi(x)$ holds for every $x \geq N_ ...
Axler, Christian
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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source