Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T14:23:24.367Z Has data issue: false hasContentIssue false
  • English
  • Français

A Functional Equation in the Heuristic Theory of Primes

Published online by Cambridge University Press:  03 November 2016

E. M. Wright
E. M. Wright*
Affiliation:
The University, Aberdeen
Get access Rights & Permissions [Opens in a new window]

Extract

In the preceding note Mr de Visme writes y’(x) for the “density” of primes in the neighbourhood of x and proves heuristically that

Type
Research Article
Information
The Mathematical Gazette , Volume 45 , Issue 351 , February 1961 , pp. 15 - 16
Copyright
Copyright © Mathematical Association 1961

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Cherwell, Lord, Number of primes and probability considerations, Nature 148 (1941), 436 and 150 (1942), 121.CrossRefGoogle Scholar
[2] Cunningham, W J., A nonlinear differential-difference equation of growth, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 708-713.CrossRefGoogle ScholarPubMed
[3] Kakutani, S. and Markus, L., On the non-linear difference differential equation y’(t) — [A — By(t — l)]y(t), Theory of Nonlinear Oscillations IV (Annals of Math. StudiesNo. 41, Princeton 1958), 1-18.Google Scholar
[4] Wright, E. M., A non-linear difference-differential equation, J für Math. 194 (1955), 66-87.Google Scholar