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# Sur une question d'Erdős et Schinzel

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# Sur une question d'Erdős et Schinzel

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

- French Institute for Research in Computer Science and Automation France
- Université Paris Diderot France
- Cambridge University Press United States
- Cambridge University Press United Kingdom

Microsoft Academic Graph classification: Combinatorics Mathematics

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]

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]

Microsoft Academic Graph classification: Combinatorics Mathematics

###### 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.

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 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 Powered byBIP!

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- French Institute for Research in Computer Science and Automation France
- Université Paris Diderot France
- Cambridge University Press United States
- Cambridge University Press United Kingdom

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