منابع مشابه
On the Difference of Consecutive Primes
is greater than (c2/2)n. A simple calculation now shows that the primes satisfying (4) also satisfy the first inequality of (3) i΀ = e(ci) is chosen small enough. The second inequality of (3) is proved in the same way, which proves Theorem 2. Further, we obtain, as an immediate corollary of Theorem 1, that Received by the editors October 17, 1947. 1 P. Erdös and P. Turân, Some new questions on...
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With enough effort, the value of x0 could be determined effectively. The paper has much in common with [1]; in particular we use the sieve method of Harman [4, 5]. We no longer use zero density estimates, however, but rather mean value results on Dirichlet polynomials similar to those that give rise to such estimates. Compare, for example, work of Iwaniec and Pintz [9] and Baker, Harman and Pin...
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متن کاملInequalities involving eigenvalues for difference of operator means
In a recent paper by Hirzallah et al. [O. Hirzallah, F. Kittaneh, M. Krnić, N. Lovričević, and J. Pečarić. Eigenvalue inequalities for differences of means of Hilbert space operators. Linear Algebra and its Applications, 436:1516–1527, 2012.], several eigenvalue inequalities are obtained for the difference of weighted arithmetic and weighted geometric means of two positive invertible operators ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1994
ISSN: 0263-6115
DOI: 10.1017/s144678870003771x