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The Riemann Zeros as Spectrum and the Riemann Hypothesis
Published 2019-04-01“…The model suggests a proof of the Riemann hypothesis in the limit where the potentials vanish. …”
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An Analytical and Numerical Detour for the Riemann Hypothesis
Published 2021-11-01Subjects: “…Riemann hypothesis (RH)…”
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Black holes, quantum chaos, and the Riemann hypothesis
Published 2021-12-01“…Following ideas of Berry and Keating, this may help the pursuit of the Riemann hypothesis. It strengthens the proposal that this quantum Hamiltonian captures the near horizon dynamics of the scattering matrix of the Schwarzschild black hole, given the rich chaotic spectrum upon discretisation. …”
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Riemann Hypothesis and Random Walks: The Zeta Case
Published 2021-10-01“…In previous work, it was shown that if certain series based on sums over primes of non-principal Dirichlet characters have a conjectured random walk behavior, then the Euler product formula for its <i>L</i>-function is valid to the right of the critical line <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>ℜ</mo><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mo>></mo><mstyle scriptlevel="0" displaystyle="false"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle></mrow></semantics></math></inline-formula>, and the Riemann hypothesis for this class of <i>L</i>-functions follows. …”
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The Generalized Riemann Hypothesis on elliptic complex fields
Published 2023-09-01Subjects: “…the generalized riemann hypothesis…”
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Li's criterion for the Riemann hypothesis - numerical approach
Published 2004-01-01Subjects: Get full text
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The riemann hypothesis : a resource for the afficionado and virtuoso alike /
Published 2007Subjects: “…Riemann hypothesis…”
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Traces of certain integral operators related to the Riemann hypothesis
Published 2023-08-01Subjects: Get full text
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The Riemann hypothesis and tachyonic off-shell string scattering amplitudes
Published 2022-05-01“…We proceed to prove that if there were nontrivial zeta zeros (violating the Riemann Hypothesis) outside the critical line $$ Real~ z = 1/2 $$ R e a l z = 1 / 2 (but inside the critical strip) these putative zeros $$ don't$$ d o n ′ t correspond to any poles of the $$\mathbf{4}$$ 4 -tachyon off-shell string scattering amplitude $$ A_4 (s, t, u) $$ A 4 ( s , t , u ) . …”
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Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis
Published 2020-04-01Subjects: “…Riemann Hypothesis…”
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On The Hidden Structure of Odd Numbers and Its Consequences for the Riemann Hypothesis
Published 2024-02-01Subjects: “…riemann hypothesis…”
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Investigation of Riemann hypothesis via Rényi dimension and Hurst exponent
Published 2018“…This implies that these two methods are able to yield correct results and thus is a feasible way to tackle the Riemann hypothesis.…”
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Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics
Published 2023-07-01Subjects: Get full text
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The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann’s Zeta-Function
Published 2021-12-01Subjects: Get full text
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On a Fractal Representation of the Density of Primes
Published 2014-12-01Subjects: Get full text
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