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Other literature type . 1990
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Sur une question d'Erdős et Schinzel

Authors: Tenenbaum, Gérald;

Sur une question d'Erdős et Schinzel

Abstract

document différent de la version publiée: de nombreuses erreurs typographiques introduites après l'envoi des épreuves ont été corrigées.; Let F(n) denote a polynomial with integer coefficients and define H_F(x,y,z) to be the number of integers not exceeding x for which F(n) has at least one divisor d such that y

Country
France
Subjects by Vocabulary

Microsoft Academic Graph classification: Combinatorics Mathematics

Keywords

polynomial values, sieve, Chebyshev problem, 11N32, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], divisors in an interval, largest prime factor, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

16 references, page 1 of 2

[5] P. Erd˝os, On the greatest prime factor of f (k), J. London Math. Soc. 27 (1952), 379-384.

[6] P. Erd˝os et A. Schinzel, On the greatest prime factor of kx=1 f (k), Acta Arith. 55, no. 2, 191-200.

[7] H. Halberstam et H.-E. Richert, Sieve Methods, Academic Press, London, NewYork, San Francisco (1974).

[8] R.R. Hall et G. Tenenbaum, Divisors, Cambridge Tracts no 90, Cambridge University Press (1988).

[9] C. Hooley, On the greatest prime factor of a quadratic polynomial, Acta Math. 117 (1967), 2-16. [OpenAIRE]

[10] C. Hooley, Applications of sieve methods to the theory of numbers, Cambridge Tracts no 70, Cambridge University Press (1976).

[11] E. Landau, Einfu¨hrung in die elementa¨re und analytische Theorie der algebraischen Zahlen, Teubner, Leipzig (1927) ; r´eimpression : Chelsea, New York (1949).

[12] S. Lang, Algebraic Number Theory, Addison-Wesley, Reading, Menlo Park, London, Don Mills (1970).

[13] H. Maier et G. Tenenbaum, On the set of divisors of an integer, Invent. Math. 76 (1984), 121-128. [OpenAIRE]

[14] A. A. Markov, U¨ber die Primteiler der Zahlen von der Form 1 + 4x2, Bull. Acad. Sci. St. Petersburg, 3 (1895), 55-59.

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  • citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    9
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
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