Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  708.11002
Autor:  Erdös, Paul
Title:  Uses of and limitations of computers in number theory. (In English)
Source:  Computers and mathematics, Proc. Int. Conf., Stanford/CA (USA) 1986, Lect. Notes Pure Appl. Math. 125, 241-260 (1990).
Review:  [For the entire collection see Zbl 698.00036.]
This is a survey of the ways in which computers have been used or might be used to disprove or fortify conjectures, or suggest fresh ones. It ranges widely over number theory, including problems on \pi(x), \mu(x), and d(x), extremal problems, properties of sequences, representational problems, prime factors of binomial coefficients, and primes in arithmetic progression.
Reviewer:  H.J.Godwin
Classif.:  * 11-02 Research monographs (number theory)
                   11Yxx Computational number theory
                   11N25 Distribution of integers with specified multiplicative constraints
                   11N37 Asymptotic results on arithmetic functions
                   11N60 Distribution functions (additive and positive multipl. functions)
                   11B13 Additive bases
                   11N13 Primes in progressions
Keywords:  survey; extremal problems; representational problems; prime factors of binomial coefficients; primes in arithmetic progression
Citations:  Zbl 698.00036

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