An upper bound for the zeta function
Key Words: Riemann zeta function, xi function, zeta zeros, periods, critical line, Hilbert-Polya conjecture
... a zeta zero separation conjecture γ n+1 − γ n À γ n −θ for some non-negative exponent θ, we obtain the upper bound log T n ¿ γ 2+θ n ...a bound for the reciprocal of the derivative of ...
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The Towering Zeta Function
... the zeta function obey this condition as can be seen from Table 2: Remark 2: The arguments that lead to roots have singular solutions to the inverse zeta functions of roots that generate them in the ...
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The Riemann zeta function
... Reyes, Ernesto Oscar, "The Riemann zeta function" (2004). Theses Digitization Project. 2648. https://scholarworks.lib.csusb.edu/etd-project/2648 This Thesis is brought to you for free and open access by the ...
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Zeros of the Dedekind Zeta-Function
... as T → ∞. We will prove an analogue of this theorem for the zeros of the Dedekind zeta-function. Originally Montgomery proved this theorem for α ∈ (0, 1) but it was later extended to α ∈ [0, 1] by Goldston ...
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Moments of the Dedekind zeta function
... where G is the Barnes G-function which satisfies G(1) = 1 and G(z + 1) = Γ(z)G(z). Their formula actually allows for k to range continuously through values > −1/2 if we replace k 2 ! by Γ(k 2 + 1) and d k (p m ) ...
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q Riemann zeta function
... q-RIEMANN ZETA FUNCTION The numerator ensures the analytic continuation for (s) > ...Riemann zeta function interpolates Bernoulli numbers at negative ...
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Zeta function for Anosov Flows
... Dynamical zeta functions, by analogy with their more famous counterparts in number theory, are a useful tool to study certain types of dynamical ...Selberg zeta function have been well understood for ...
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Rational approximations to the zeta function
... As a consequence, the Riemann hypothesis can be restated as what looks like a rather conventional spectral problem: to show that the spectra of certain matrices stay to the left of the critical line, at least ...
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An upper bound on the total inelastic cross section as a function of the total cross section
... rigorous upper bound on the inelastic cross-section σ inel at high energy which is one-fourth of the known Froissart-Martin-Lukaszuk upper bound on σ tot ...an upper bound on σ ...
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A general upper bound on broadcast function B(n) using Knodel graph
... finding upper bounds for some restricted range of n (see [7, 9, 10, 11, 12, 17, 18, 21, 37, 39, 44, 48, 65, 88, ...found upper bounds for many n by ap- plying compounding, vertex deletion, vertex merging ...
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On an upper bound for Sherman’s inequality
... Full list of author information is available at the end of the article Abstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim ...
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Upper Bound Approximations for BlockMaxWand
... the upper bound of the term weighting model scores for each block of postings in the inverted ...of upper-bound approximation – which have previously been shown suitable for Wand– in providing ...
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Graph Zeta Function and Gauge Theories
... Ihara zeta functions and studied their ...Ihara zeta function for these dimer graphs and showed how to express the Graph Riemann Hy- pothesis in terms of inequalities in the valency numbers (order of ...
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The inverses of tails of the Riemann zeta function
... Riemann zeta function ζ n (s) –1 for 0 < s < 1, and computed the values [A –1 n,s ] and [B –1 n,s ], hence the values of the inverses of tails of the Riemann zeta function [ 1–2 1 1–s ζ n (s) ...
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On Maslanka's Representation for the Riemann Zeta Function
... Throughout, it shall be very important to bear in mind the simple estimate for the size of the Pochhammer polynomials contained in the following lemma already proved in 3 , Lemma 2... P[r] ...
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On a mollifier of the perturbed Riemann zeta function
... the bound obtained in this paper can be attained using the twisted second moment of the Riemann zeta-function due to Balasubramanien ...the bound κ > ...
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Remark on the Hurwitz-Lerch zeta function
... Hurwitz-Lerch zeta function have been actively investigated by many ...Lerch zeta function can be explained and the functional relation for the Lerch zeta function can be ...
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A MATRIX-WEIGHTED ZETA FUNCTION OF A GRAPH
... matrix-weighted zeta function of a regular covering of a graph ...weighted zeta function of a regular covering of G by a product of matrix-weighted L-functions of ...
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Applications of the Hurwitz-Lerch Zeta-Function
... Abstract: In this paper, we shall exhibit the use of two principles, “principle of decomposition into residue classes” and “binomial principle of analytic continuation” due to Ram Murty and Sinha and indicate a certain ...
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An Estimate of an Upper Bound for the Entropy of English
... We present an estimate of an upper bound of 1.75 bits for the entropy of characters in printed English, obtained by constructing a word trigram model and then computing the cross[r] ...
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