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Li's criterion for the Riemann hypothesis - numerical approach [PDF]
Opuscula Mathematica, 2004 There has been some interest in a criterion for the Riemann hypothesis proved recently by Xian-Jin Li [Li X.-J.: The Positivity of a Sequence of Numbers and the Riemann Hypothesis. J. Number Theory 65 (1997), 325-333].
Krzysztof Maślanka
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Scalar modular bootstrap and zeros of the Riemann zeta function
Journal of High Energy Physics, 2022 Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
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Walailak Journal of Science and Technology, 2019 In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function).
Janyarak TONGSOMPORN, Jörn STEUDING
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On the density of some special primes
Journal of Mathematical Cryptology, 2009 We show, under the Generalized Riemann Hypothesis, that a certain set of primes which is of importance for the theory of pseudorandom sequences is of positive relative density. We also use an unconditional result of H.
Friedlander John B., Shparlinski Igor E.
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On a Fractal Representation of the Density of Primes
Recoletos Multidisciplinary Research Journal, 2014 The number of primes less or equal to a real number x, π(x), has been approximated in the past by the reciprocal of the logarithm of the number x. Such an approximation works well when x is large but it can be poor when x is small.
Joy Mirasol, Efren O. Barabat
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Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis
Information, 2020 This article presents the use of data processing to apprehend mathematical questions such as the Riemann Hypothesis (RH) by numerical calculation. Calculations are performed alongside graphs of the argument of the complex numbers ζ ( x + i y ...
Michel Riguidel
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A Proof Of The Riemann Hypothesis
, 2022 I show a proof of the Riemann Hypothesis by proving the truth of Robin's inequality with a generating function approach. I also show that an ordinary generating function for $\ln(\ln(n))n{e}^{\gamma}$, where $n \in \mathbb{N} \backslash\{1\} $, can be achieved by transforming the polylogarithm and its associated Lambert series[3].
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The sixth moment of the Riemann zeta function and ternary additive divisor sums
Discrete Analysis, 2021 The sixth moment of the Riemann zeta function and ternary additive divisor sums, Discrete Analysis 2021:6, 60 pp. The Riemann hypothesis states that every non-trivial zero of the Riemann zeta function lies on the critical line $\Re(z) = 1/2$.
Nathan Ng
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Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics
Mathematics, 2023 In this study, we investigated a new zeta formula in which the zeta function can be expressed as the sum of an infinite series of delta and cosine functions.
Saadeldin Abdelaziz +2 more
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