Results 21 to 30 of about 1,625,058 (297)
Supersymmetric quantum mechanics and the Riemann hypothesis [PDF]
International Journal of Modern Physics A, 2022 We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the ...
Pushpa Kalauni, K. Milton
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Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis [PDF]
Physica Scripta, 2021 The Riemann Hypothesis states that the Riemann zeta function ζ(z) admits a set of ‘non-trivial’ zeros that are complex numbers supposed to have real part 1/2.
F. Tamburini, I. Licata
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A dynamical approach to generalized Weil’s Riemann hypothesis and semisimplicity [PDF]
Science China Mathematics, 2021 Let $X$ be a smooth projective variety over an algebraically closed field of arbitrary characteristic, and $f$ a dynamical correspondence of $X$. In 2016, the second author conjectured that the dynamical degrees of $f$ defined by the pullback actions on \
Fei Hu, T. Truong
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The Riemann hypothesis is true up to 3·1012 [PDF]
Bulletin of the London Mathematical Society, 2020 We verify numerically, in a rigorous way using interval arithmetic, that the Riemann hypothesis is true up to height 3·1012 .
Dave Platt, T. Trudgian
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, 2023 Let's define $\delta(x) = (\sum_{{q\leq x}}{\frac{1}{q}}-\log \log x-B)$, where $B \approx 0.2614972128$ is the Meissel-Mertens constant. The Robin theorem states that $\delta(x)$ changes sign infinitely often. Let's also define $S(x) = \theta(x) - x$, where $\theta(x)$ is the Chebyshev function.
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Journal of Number Theory, 1996 AbstractIt has been shown by Wan [W1] that a version of the Riemann hypothesis for characteristicpvalued zeta functions, due to D. Goss, is satisfied forFq[T], withq=pbeing prime. We present another proof of this result.
Javier Diaz-Vargas
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The Generalized Riemann Hypothesis on elliptic complex fields
AIMS Mathematics, 2023 In this paper, we will introduce a new algebraic system called the elliptic complex, and consider the distribution of zeros of the function $ L(s, \chi) $ in the corresponding complex plane. The key to this article is to discover the limiting case of the
Xian Hemingway
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Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
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Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis [PDF]
Mathematics of Computation, 2020 We prove an explicit error term for the $\psi(x,\chi)$ function assuming the Generalized Riemann Hypothesis. Using this estimate, we prove a conditional explicit bound for the number of primes in arithmetic progressions.
A. Ernvall-Hytönen, Neea Palojärvi
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An Analytical and Numerical Detour for the Riemann Hypothesis
Information, 2021 From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight into Hadamard’s product formula. The function S1(s)=d(lnF(s))/ds and its family of associated Sm functions, expressed as a sum of rational fractions, are ...
Michel Riguidel
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