Asymptotic relations for the products of elements of some positive sequences

DOI10.1515/math-2020-0029zbMath1483.41011OpenAlexW3071574719MaRDI QIDQ2053427

Michał Różański, Ireneusz Sobstyl, Roman Wituła, Barbara Smoleń, Agata Chmielowska

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0029

zbMATH Keywords

limitsasymptotic relationsprime numbersspecial sequences

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation to limiting values (summation of series, etc.) (40A25) Primes (11A41) Convergence and divergence of infinite products (40A20)

Cites Work

• A sharp double inequality for sums of powers
• Approximate formulas for some functions of prime numbers
• On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials
• On a binomial coefficient and a product of prime numbers
• The Euler-Maclaurin Formula and Sums of Powers
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