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On the average value of

Canadian Mathematical Bulletin, 2022
AbstractWe prove that the Riemann hypothesis is equivalent to the condition $\int _{2}^x\left (\pi (t)-\operatorname {\textrm {li}}(t)\right )\textrm {d}t<0$ for all $x>2$ . Here, $\pi (t)$ is the prime-counting function and $\operatorname {\textrm {li}}(t)$ is the logarithmic integral. This makes explicit a claim of Pintz.
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Normal Values and Average Values

Metroeconomica, 1997
This essay discusses the implications of the idea that the Keynesian premise implies deviations between the normal and the average degrees of utilization. A system of equations called the ``average system'' is proposed for the study of average values, as distinct from normal values, by way of a hypothetical steady‐ state growth path for each sector.
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Model averaging for interval-valued data

European Journal of Operational Research, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuying Sun   +3 more
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On the Bounds of the Average Value of a Function

Journal of Mathematical Physics, 1971
We describe here how one can obtain upper and lower bounds of the average value of a function f(E)¯ in terms of the bounds of the variable E and Ē, E2¯.
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On average values of arithmetic functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1941
The problem considered in this paper is that of finding the least possible h = h(x) such that a given arithmetic function a(n) should keep its average order in the interval x, x + h, i.e. that we haveandas x → ∞.
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