Results 51 to 60 of about 1,625,058 (297)
Some Remarks and Propositions on Riemann Hypothesis
Mathematics and Statistics, 2020 In this article we look at some well know results of Riemann Zeta function in a different light. We explore the proofs of Zeta integral Representation, Analytic continuity and the first functional equation.
J. Salah
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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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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 Euler products with smaller than one exponents
Acta Universitatis Sapientiae: Mathematica, 2020 Investigation has been made regarding the properties of the ℿp≤n (1 ± 1/ps) products over the prime numbers, where we fix the s ∈ ℝ exponent, and let the n ≥ 2 natural bound grow toward positive infinity.
Román Gábor
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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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Noncommutative Riemann hypothesis [PDF]
arXiv, 2021 In this note, making use of noncommutative $l$-adic cohomology, we extend the generalized Riemann hypothesis from the realm of algebraic geometry to the broad setting of geometric noncommutative schemes in the sense of Orlov. As a first application, we prove that the generalized Riemann hypothesis is invariant under derived equivalences and homological
arxiv
, 2021 Denote by zeta the Riemann zeta function. We demonstrate in this note that zeta(s) doesn't vanish whenever Re(s)>1/2, which proves the Riemann hypothesis.
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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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Bounding Sn (t) on the Riemann hypothesis [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2017 Let $S(t) = {1}/{\pi} \arg \zeta \big(\hh + it \big)$ be the argument of the Riemann zeta-function at the point 1/2 + it. For n ⩾ 1 and t > 0 define its iterates $$\begin{equation*} S_n(t) = \int_0^t S_{n-1}(\tau) \,\d\tau\, + \delta_n\,, \end{equation*}
E. Carneiro, Andrés Chirre
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