Results 131 to 140 of about 630 (179)

The Loewner Energy via the Renormalised Energy of Moving Frames. [PDF]

Arch Ration Mech Anal
Michelat A, Wang Y.
europepmc   +1 more source

Partition Function Zeros of Paths and Normalization Zeros of ASEPS. [PDF]

Entropy (Basel)
Burda Z, Johnston DA.
europepmc   +1 more source

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Approximation of and by the Riemann Zeta-Function

Computational Methods and Function Theory, 2010
In this paper the author shows that it is possible to approximate the Riemann zeta-function by functions meromorphic on \(\mathbb C\) which satisfy the functional equation of the Riemann zeta-function and do not satisfy the analogue of the Riemann hypothesis as well as to approximate the Riemann zeta-function by functions meromorphic on \(\mathbb C ...
Paul M Gauthier, Gauthier Paul M
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A Formula on Riemann Zeta Function

The Annals of Mathematics, 1945
2. LEMMA 1. [31 p. 132. Let C be the rectangle whose vertices are iT, -iT, T + iT, T iT running in the positive direction. Let us put F(z) = log cD(-iz), where z = x + iy, the logarithm being defined as follows; we start with a particular determination on x = T and it is real when z = T, and obtain the value at other points by continuous variation ...
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A Multicomplex Riemann Zeta Function

Advances in Applied Clifford Algebras, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reid, Frederick Lyall, van Gorder, Robert A.   +1 more
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Blockchain and the Riemann Zeta Function

2021
Proof of Work (PoW) mechanisms used as part of the consensus mechanisms in block chains often have a major drawback namely that resources are only spent on doing the PoW and nothing else. In this paper we propose an adaption of hash based PoW’s. This adaption consists in two aspects, firstly by embedding the space of the hash’s, \(\mathcal{H}\), in the
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On the Zeros of the Riemann Zeta-Function

Journal of the London Mathematical Society, 1999
\textit{J. E. Littlewood} proved that the Riemann zeta-function \(\zeta(s)\) always has a zero in the strip \(T\leq \text{Im }s\leq T+c/\log\log\log T\) for \(T\) large enough, where \(c\) is an absolute constant [Proc. Lond. Math. Soc. 22, 234-242 (1924; JFM 50.0229.04)]; \textit{E. C. Titchmarsh} gave a simpler proof [Proc. Camb. Philos. Soc. 28, 273-
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The Riemann zeta function

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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