Approximate formulas for some functions of prime numbers
About: This article is published in Illinois Journal of Mathematics. The article was published on 01 Mar 1962. and is currently open access. The article focuses on the topics: Prime k-tuple & Prime power.
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An Asymptotic Robin Inequality
Patrick Solé,Yuyang Zhu +1 more
TL;DR: The main ingredients of the proof are an estimate for Chebyshev summatory function, and an effective version of Mertens third theorem due to Rosser and Schoenfeld.
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Deterministic recurrent communication in restricted Sensor Networks
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Isomorphism testing of groups of cube-free order
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TL;DR: An algorithm is described that given two cube-free groups G and H of known order, decides whether G ≅ H, and, if so, constructs an isomorphism G → H that runs in time polynomial in the input size, improving on the previous super-polynomial bound.
Gram’s law and the argument of the Riemann zeta function
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References
•Book
The distribution of prime numbers
A. E. Ingham
- 01 Jan 1932
TL;DR: In this paper, the prime number theorem and its application in the theory of applications are discussed, as well as the regularities of distribution in the context of prime numbers and their applications.
583
On the roots of the Riemann zeta-function
TL;DR: On the critical line a=l/s, t > 0, the Riemann Hypothesis is true at least for t <_9878.910.
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