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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 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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Riemann zeta matrix function

, 2015
In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sin pi xP. Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals.
KARGIN, Levent, KURT, Veli
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Riemann surface of the Riemann zeta function

Journal of Mathematical Analysis and Applications, 2022
In this paper we treat the classical Riemann zeta function as a function of three variables: one is the usual complex $\adyn$-dimensional, customly denoted as $s$, another two are complex infinite dimensional, we denote it as $\b = \{b_n\}_{n=1}^{\infty}$
S Ivashkovich
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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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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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