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
Automaticity II: descriptional complexity in the unary case
TL;DR: It is proved that Aƒ(n) l n] , where l = ¦Δ¦, which is a new enumeration method for languages accepted by unary q-state NFAs and gives some lower bounds for nondeterministic automaticity for nonregular languages.
29
Euler’s constant, q -logarithms, and formulas of Ramanujan and Gosper
Jonathan Sondow,Wadim Zudilin +1 more
TL;DR: In this paper, the authors relate computational and arithmetic questions about Euler's constant γ with properties of the values of the q-logarithm function, with natural choice of q. The main tools are Euler type integrals and hypergeometric series.
29
Bloom Filter With a False Positive Free Zone
TL;DR: A data structure called EGH filter is proposed that supports the Bloom filter operations, and besides, it can guarantee false positive free operations for a finite universe and a restricted number of elements stored in the filter.
Fractional parts of powers of rationals
F. Beukers
- 01 Jul 1981
TL;DR: In this article, Baker and Coates published a paper bearing the same title (2), and the introduction to their paper can be used in this paper very appropriately, I shall quote large parts of it here.
29
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