Explicit asymptotic formulae for sub exponentially growing multiplicative structures

2017/05/01 by Boris L. Granovsky, Boris Granovsky, Granovsky, Boris
Mathematics · #05A17 #11P82 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR) #math.CO #math.PR #msc:05A17 #msc:11P82

paper · pdf · doi:10.48550/arxiv.1705.00438

openalex publication_date 2017/05/01 · arxiv created 2017/05/02 · arxiv updated 2017/05/04 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

Abstract

It is derived the explicit asymptotic expression in n for the coefficient c_n of the generating function for multiplicative structures with sub exponential rate of growth of c_n, as n→∞.

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