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BIT, 1968
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.
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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.
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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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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 $$ \zeta (s)=\sum ^{\infty }_{n=1} \ \ \frac{1}{n^s} \ \text {in} \ \sigma > 1.$$
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The Distribution of Primes and the Riemann Zeta Function
1984We recall that the problem of the distribution of primes had been raised at least as far back as the Greek antiquity. The proof of our Theorem 3.9, that there are infinitely many primes, appears in Euclid (Book 9, Section 20), and Eratosthenes†devised a systematic method for obtaining all primes up to any given number x.
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Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review
Ca-A Cancer Journal for Clinicians, 2022Deborah C Marshall+2 more
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A systematic review of rehabilitation and exercise recommendations in oncology guidelines
Ca-A Cancer Journal for Clinicians, 2021Kathleen Doyle Lyons+2 more
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Cancer epigenetics in clinical practice
Ca-A Cancer Journal for Clinicians, 2023Veronica Davalos, Manel Esteller
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Photodynamic therapy of cancer: An update
Ca-A Cancer Journal for Clinicians, 2011Patrizia Agostinis+2 more
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