Titlebook: Arithmetical Functions; K. Chandrasekharan Book 1970 Springer-Verlag Berlin · Heidelberg 1970 Arithmetic.Arithmetische Funktion.Prime.func

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,Dirichlet’s divisor problem,Let .(.) denote the number of positive divisors of the positive integer . Let . where . is Euler’s constant. It is known, after Dirichlet, that

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Persistence and the Data Portal,ed by Atle Selberg has made a proof of (1) possible without the use of the properties of the zeta-function of Riemann, and without the use of the theory of functions of a complex variable. We shall prove Selberg’s formula in this chapter, and indicate some of its consequences. We shall also prove an

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Arithmetical Functions978-3-642-50026-8Series ISSN 0072-7830 Series E-ISSN 2196-9701

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