Results 221 to 230 of about 552,780 (265)
On mathematical modelling of measles disease via collocation approach. [PDF]
AIMS Public HealthAhmed S, Jahan S, Shah K, Abdeljawad T.
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Basic Cells Special Features and Their Influence on Global Transport Properties of Long Periodic Structures. [PDF]
Entropy (Basel)Oliveira LRN, da Luz MGE.
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Modelling the spread of two successive SIR epidemics on a configuration model network. [PDF]
J Math BiolBall F, Lashari AA, Sirl D, Trapman P.
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The Riemann Zeta Function [PDF]
, 1999 The surface is a graph of the reciprocal of the absolute value of the Riemann zeta function ζ (s). The spikes correspond to the zeros on the critical line ½ + iy. Recall that the global behavior of π(x), the prime distribution function, is well approximated by Riemann’s smooth function R(x) (discussed in Chapter 2). More delicate information about π(x),
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The Riemann Zeta Function [PDF]
, 2011 The Riemann zeta function is one of the most important functions of classical mathematics, with a variety of applications in analytic number theory. In this lecture, we shall study some of its elementary properties.
Ravi P. Agarwal +2 more
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2020
As Euler noted, the fact that the series (11.0.1) diverges at \(s=1\) gives another proof that the set of primes is infinite—in fact \(\sum _p(1/p)\) diverges. (This is only the simplest of the connections between properties of the zeta function and properties of primes.)
Roderick Wong, Richard Beals
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As Euler noted, the fact that the series (11.0.1) diverges at \(s=1\) gives another proof that the set of primes is infinite—in fact \(\sum _p(1/p)\) diverges. (This is only the simplest of the connections between properties of the zeta function and properties of primes.)
Roderick Wong, Richard Beals
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2018
The zeta function is defined for ℜ(s) > 1 by $$\displaystyle \zeta (s) = \sum _{n=1}^{+\infty } \frac {1}{n^s}. $$
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The zeta function is defined for ℜ(s) > 1 by $$\displaystyle \zeta (s) = \sum _{n=1}^{+\infty } \frac {1}{n^s}. $$
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The Riemann Zeta-Function [PDF]
Nature, 1952 The Theory of the Riemann Zeta-Function By Prof. E. C. Titchmarsh. Pp. vii + 346. (Oxford: Clarendon Press; London: Oxford University Press, 1951.) 40s. net.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1932
It was proved by Littlewood that, for every large positive T, ζ (s) has a zero β + iγ satisfyingwhere A is an absolute constant.
E. C. Titchmarsh, G. H. Hardy
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It was proved by Littlewood that, for every large positive T, ζ (s) has a zero β + iγ satisfyingwhere A is an absolute constant.
E. C. Titchmarsh, G. H. Hardy
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1998
In order to make progress in number theory, it is sometimes necessary to use techniques from other areas of mathematics, such as algebra, analysis or geometry. In this chapter we give some number-theoretic applications of the theory of infinite series.
Gareth Jones, J. Mary Jones
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In order to make progress in number theory, it is sometimes necessary to use techniques from other areas of mathematics, such as algebra, analysis or geometry. In this chapter we give some number-theoretic applications of the theory of infinite series.
Gareth Jones, J. Mary Jones
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