1913/01/01 by T. H. Gronwall · 76 citations
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Theories #Mathematics #Asymptotic analysis #Pure mathematics #Calculus (dental) #Mathematical analysis
paper · pdf · doi:10.1090/s0002-9947-1913-1500940-6
published in Transactions of the American Mathematical Society 14(1), 113-122 (American Mathematical Society)
openalex publication_date 1913/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/13
While formerly the research of asymptotic expressions in the theory of numbers was largely confined to the approximate determination of the summatory function (or the mean value) of a given arithmetic function, recent progress in the theory of prime numbers has opened a new field for asymptotic investigations, viz., the research of upper and lower limits of an arithmetic function for large values of its argument.The first result in this line was obtained by Landau :| ,. .e <p(x) c ..