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Kac-Ward Solution of the 2D Classical and 1D Quantum Ising Models. [PDF]
Ann Henri PoincareAthanasopoulos G, Ueltschi D.
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The Loewner Energy via the Renormalised Energy of Moving Frames. [PDF]
Arch Ration Mech AnalMichelat A, Wang Y.
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Partition Function Zeros of Paths and Normalization Zeros of ASEPS. [PDF]
Entropy (Basel)Burda Z, Johnston DA.
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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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