On the constant factor in several related asymptotic estimates

2018/09/26 by Andreas Weingartner · 3 citations
Mathematics · Computer Science · #Analytic Number Theory Research #Coding theory and cryptography #Algebraic Geometry and Number Theory #Mathematics #Constant (computer programming) #Factor (programming language) #Applied mathematics #Mathematical analysis

paper · pdf · doi:10.1090/mcom/3402

openalex publication_date 2018/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

We establish formulas for the constant factor in several asymptotic estimates related to the distribution of integer and polynomial divisors. The formulas are then used to approximate these factors numerically.

Citations

• Approximate formulas for some functions of prime numbers
• Sums of Distinct Divisors
• Sur un problème de crible et ses applications
• New estimates for some functions defined over primes

Cited by

• The constant factor in the asymptotic for practical numbers
• An extension of the Siegel-Walfisz theorem
• Practical number [wikipedia]

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