منابع مشابه
Prime Pairs and Zeta’s Zeros
There is extensive numerical support for the prime-pair conjecture (PPC) of Hardy and Littlewood (1923) on the asymptotic behavior of π2r(x), the number of prime pairs (p, p + 2r) with p ≤ x. However, it is still not known whether there are infinitely many prime pairs with given even difference! Using a strong hypothesis on (weighted) equidistribution of primes in arithmetic progressions, Golds...
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Current job scheduling systems for massively parallel machines and Beowulf-class compute clusters support batch scheduling involving two classes of queues: prime time vs. non-prime time. Jobs running in these queue classes must satisfy different criteria with respect to jobsize, runtime, or other resource needs. These constraints are designed to delay big jobs to non-prime time in order to prov...
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Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of $M$ are studied.
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Recently Sarkar (DCC 2014) has proposed a new attack on small decryption exponent when RSA Modulus is of the form N = pq for r ≥ 2. This variant is known as Prime Power RSA. The work of Sarkar improves the result of May (PKC 2004) when r ≤ 5. In this paper, we improve the existing results for r = 3, 4. We also study partial key exposure attack on Prime Power RSA. Our result improves the work of...
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Let $R$ be a commutative ring with identity. A proper ideal $P$ of $R$ is a $(n-1,n)$-$Phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin R$, $a_1cdots a_nin Pbackslash P^m$ ($a_1cdots a_nin Pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin P$, for some $iin{1,ldots,n}$; ($m,ngeq 2$). In this paper several results concerning $(n-1,n)$-$Phi_m$-prime and $(n-1,n)$-...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2019
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-019-02384-9