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Asymptotic formulae.

Jakimczuk, Rafael (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Bounds for the counting function of the Jordan-Pólya numbers

Jean-Marie De Koninck, Nicolas Doyon, A. Arthur Bonkli Razafindrasoanaivolala, William Verreault (2020)

Archivum Mathematicum

A positive integer n is said to be a Jordan-Pólya number if it can be written as a product of factorials. We obtain non-trivial lower and upper bounds for the number of Jordan-Pólya numbers not exceeding a given number x .

Chebyshev's method for number fields

José Felipe Voloch (2000)

Journal de théorie des nombres de Bordeaux

We give an elementary proof of an explicit estimate for the number of primes splitting completely in an extension of the rationals. The proof uses binomial coefficents and extends Chebyshev's classical approach.

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