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THE MAXIMAL ORDER OF ITERATED MULTIPLICATIVE FUNCTIONS

2017/09/30 by Christian Elsholtz, Marc Technau, Niclas Technau
Computer Science · Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Coding theory and cryptography #Iterated function #Iterated function system #Multiplicative function #Multiplicative inverse #Order (exchange) #math.NT #msc:11N37

paper · pdf · doi:10.1112/s0025579319000214

published in Mathematika 65(4), 990-1009 (Wiley) · To appear in Mathematika

openalex created_date 2017/09/25 · openalex publication_date 2019/01/01 · arxiv created 2019/04/07 · arxiv updated 2019/07/31 · openalex updated_date 2026/08/05

Abstract

Following Wigert, various authors, including Ramanujan, Gronwall, Erdős, Ivić, Schwarz, Wirsing and Shiu, determined the maximal order of several multiplicative functions, generalizing Wigert's result

Citations