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Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative. [PDF]
HeliyonAl-Shbeil I +3 more
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Population genomics and distribution modeling revealed the history and suggested a possible future of the endemic Agave aurea (Asparagaceae) complex in the Baja California Peninsula. [PDF]
Ecol EvolKlimova A +3 more
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The Riemann Zeta Function as Universal Encoder of Physical Systems
REY, Michael
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A Multicomplex Riemann Zeta Function
Advances in Applied Clifford Algebras, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reid, Frederick Lyall +1 more
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2021
Topic of this chapter is the Riemann zeta function and its non-trivial zeros. The evaluation of the Riemann zeta function is based on a series expansion and if necessary additionally on transforming the function argument. The first 50 non-trivial zeros are table based, additional non-trivial zeros will be numerically evaluated.
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Topic of this chapter is the Riemann zeta function and its non-trivial zeros. The evaluation of the Riemann zeta function is based on a series expansion and if necessary additionally on transforming the function argument. The first 50 non-trivial zeros are table based, additional non-trivial zeros will be numerically evaluated.
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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.)
Richard Beals, Roderick S. C. Wong
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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.)
Richard Beals, Roderick S. C. Wong
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2011
Riemann zeta function represents an important tool in analytical number theory with various applications in quantum mechanics, probability theory and statistics. First introduced by Bernhard Riemann in 1859, zeta function is a central object of many outstanding problems.
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Riemann zeta function represents an important tool in analytical number theory with various applications in quantum mechanics, probability theory and statistics. First introduced by Bernhard Riemann in 1859, zeta function is a central object of many outstanding problems.
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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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2010
Number Theory is one of the most ancient and active branches of pure mathematics. It is mainly concerned with the properties of integers and rational numbers. In recent decades, number theoretic methods are also being used in several areas of applied mathematics, such as cryptography and coding theory.
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Number Theory is one of the most ancient and active branches of pure mathematics. It is mainly concerned with the properties of integers and rational numbers. In recent decades, number theoretic methods are also being used in several areas of applied mathematics, such as cryptography and coding theory.
openaire +2 more sources