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Let $k\ge 2$ and $\Pi(n)=\prod_{i=1}^k(a_in+b_i)$ for some integers $a_i, b_i$ ($1\le i\le k$). Suppose that $\Pi(n)$ has no fixed prime divisors. Weighted sieves have shown for infinitely many integers $n$ that $\Omega(\Pi(n))\le r_k$ holds for some integer $r_k$ which is asymptotic to $k\log{k}$.
arxiv
Revisiting Keynes in the Light of the Transition to Circular Economy. [PDF]
Ghisellini P, Passaro R, Ulgiati S.
europepmc +1 more source
On the Origin of the Laff er Curve [PDF]
In 1974 Arthur Laffer sketched his famous curve on a restaurant napkin. Jude Wanniski gave the curve Laffer’s name and popularized it in 1978. Nowadays the Laffer curve is part of most economics textbooks and essential argument in tax debates.
Petr Mach
doaj
An empirical analysis of long-term Brazilian interest rates. [PDF]
Akram T, Uddin SA.
europepmc +1 more source
Bounded length intervals containing two primes and an almost-prime II [PDF]
Zhang has shown there are infinitely many intervals of bounded length containing two primes. It appears that the current techniques cannot prove that there are infinitely many intervals of bounded length containing three primes, even if strong conjectures such as the Elliott-Halberstam conjecture are assumed.
arxiv
LA THEORIE ECONOMIQUE FACE À LA COVID-19 : DE ADAM SMITH À JOHN MAYNARD KEYNES [PDF]
Juliana Hadjitchoneva, Roger Nanfosso
openalex +1 more source
Fortschritt und Arbeitszeit: Ein Vergleich der Ansichten von Marx, Keynes und der Sozialdemokratie
Die Ideen von Karl Marx und John Maynard Keynes übten im Laufe der Zeit großen Einfluss auf die Ansichten der österreichischen Sozialdemokratie aus. Beide Autoren sahen das Ziel der Geschichte in der Selbstverwirklichung des Menschen.
Bernhard Schütz
doaj +2 more sources
Large gaps between primes [PDF]
We show that there exists pairs of consecutive primes less than $x$ whose difference is larger than $t(1+o(1))(\log{x})(\log\log{x})(\log\log\log\log{x})(\log\log\log{x})^{-2}$ for any fixed $t$. Our proof works by incorporating recent progress in sieve methods related to small gaps between primes into the Erdos-Rankin construction. This answers a well-
arxiv
Validity of the economic thoughts of Keynes and Marx for the 21st century [PDF]
This paper examines the validity of economic thoughts of Karl Marx and John Maynard Keynes for the present time. The paper compares Marx and Keynes, and aims to show that the difference in treatment of the major economic issues between them is not as ...
Dragoljub Stojanov
doaj