On the numerical solution of a differential-difference equation arising in analytic number theory

Authors:
J. van de Lune and E. Wattel

Journal:
Math. Comp. **23** (1969), 417-421

MSC:
Primary 65.70

DOI:
https://doi.org/10.1090/S0025-5718-1969-0247789-3

MathSciNet review:
0247789

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Abstract: In the January 1962 issue of this Journal R. Bellman and B. Kotkin published a short paper under the same title as this one (cf. [1]). In that paper Bellman and Kotkin presented some of their results concerning the numerical computation of the continuous function , defined by

**[1]**R. Bellman and B. Kotkin,*On the numerical solution of a differential-difference equation arising in analytic number theory*, Math. Comp.**16**(1962), 473–475. MR**0148248**, https://doi.org/10.1090/S0025-5718-1962-0148248-2**[2]**N. G. de Bruijn,*The asymptotic behaviour of a function occurring in the theory of primes*, J. Indian Math. Soc. (N.S.)**15**(1951), 25–32. MR**0043838****1.**For an extensive list of literature concerning the function we refer to 3. J. van de Lune & E. Wattel,*On the Frequency of Natural Numbers m whose Prime Divisors are all Smaller than*, Mathematical Centre, Amsterdam, Report ZW 1968-007, 1968.

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DOI:
https://doi.org/10.1090/S0025-5718-1969-0247789-3

Article copyright:
© Copyright 1969
American Mathematical Society