Improving Water-Based Drilling Mud Performance Using Biopolymer Gum: Integrating Experimental and Machine Learning Techniques. [PDF]
Murtaza M+7 more
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Weighted burden analysis of rare coding variants in 470,000 exome-sequenced UK Biobank participants characterises effects on hyperlipidaemia risk. [PDF]
Curtis D.
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PfCSP-ferritin nanoparticle malaria vaccine antigen formulated with aluminum-salt and CpG 1018® adjuvants: Preformulation characterization, antigen-adjuvant interactions, and mouse immunogenicity studies. [PDF]
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A KIF20A-based thermosensitive hydrogel vaccine effectively potentiates immune checkpoint blockade therapy for hepatocellular carcinoma. [PDF]
Zhao X+6 more
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On primeness of the Selberg zeta-function [PDF]
To appear in Hokkaido Mathematical ...
Garunk��tis, Ram��nas+1 more
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The basic properties of the prime zeta function are discussed in some detail. A certain Dirichlet series closely connected with the function is introduced and investigated. Its dependence on the structure of the natural numbers with respect to their factorization is particularly stressed.
Carl-Erik Fröberg
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The Riemann Zeta Function and the Prime Number Theorem
2020For a complex number s, we always denote its real part by \(\sigma \) and imaginary part by t. Thus \(s=\sigma +it.\) The Riemann Zeta function is defined as $$ \zeta (s)=\sum ^{\infty }_{n=1} \ \ \frac{1}{n^s} \ \text {in} \ \sigma > 1.$$
T. Shorey
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Finding roots of a bivariate polynomial f(x1, x2), over a prime field , is a fundamental question with a long history and several practical algorithms are now known.
Sayak Chakrabarti, Nitin Saxena
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Orbit growth of Dyck and Motzkin shifts via Artin–Mazur zeta function
Dynamical systems, 2020For a discrete dynamical system, the prime orbit and Mertens' orbit counting functions indicate the growth of the closed orbits in the system in a certain way. These functions are analogous to the counting functions for primes in number theory.
Azmeer Nordin+2 more
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Primes, Arithmetic Functions, and the Zeta Function
2002In this chapter we will discuss properties of primes and prime decomposition in the ring A = F[T]. Much of this discussion will be facilitated by the use of the zeta function associated to A. This zeta function is an analogue of the classical zeta function which was first introduced by L.
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