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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Posted Content
Minimal generation of transitive permutation groups
TL;DR: In this article, it was shown that there is a constant $c$ such that each transitive permutation group of degree 2 can be generated by a constant number of elements.
3
Generating subgroups of ray class groups with small prime ideals
TL;DR: In this article, explicit bounds on the norms of prime ideals for generating arbitrary subgroups of ray class groups of number fields were given, assuming the Extended Riemann Hypothesis.
On the large values of the Riemann zeta-function on the critical line-II
M. A. Korolev
- 01 Jan 2015
TL;DR: In this paper, the maximum Riemann zeta function on very short segments of the critical line was shown to be bounded by a constant factor of 2.5, and the bounds were proved based on the riemann hypothesis.
3
On the minimal distance of a polynomial code
Péter Pál Pach,Csaba Szabó +1 more
TL;DR: It is shown that for A = (k) under bar the conjecture holds and that the minimal distance of the code is at least n/(log n)(0.223) and different number theoretical methods depending on the size of k (respect to n).
3
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.
Related Papers (5)
Harold Davenport
- 01 Jan 1967
[...]
Tom M. Apostol
- 01 Jan 1976