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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
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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

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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