Selberg, Atle An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression. (English) Zbl 0036.30603 Ann. Math. (2) 50, 297-304 (1949). Vgl. das gemeinsame Referat im Zbl 0036.30604. Reviewer: Ernst Witt (Hamburg) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 18 Documents MSC: 11N13 Primes in congruence classes Keywords:elementary proof; Dirichlet’s theorem; primes in arithmetic progression Citations:Zbl 0036.30604 PDFBibTeX XMLCite \textit{A. Selberg}, Ann. Math. (2) 50, 297--304 (1949; Zbl 0036.30603) Full Text: DOI Online Encyclopedia of Integer Sequences: Let x be a positive number, Lambda(d) = Moebius(d)*[log(x/d)]^2, f(m) = Sum_{d|m} Lambda(d), S(x) = Sum_{m <= x} f(m). Sequence gives nearest integer to S(n).