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11: 27.4 Euler Products and Dirichlet Series
27.4.6 n = 1 ϕ ( n ) n s = ζ ( s 1 ) ζ ( s ) , s > 2 ,
12: 25.15 Dirichlet L -functions
For the principal character χ 1 ( mod k ) , L ( s , χ 1 ) is analytic everywhere except for a simple pole at s = 1 with residue ϕ ( k ) / k , where ϕ ( k ) is Euler’s totient function (§27.2). …
13: Errata
  • Equation (27.12.8)
    27.12.8 li ( x ) ϕ ( m ) + O ( x exp ( λ ( α ) ( ln x ) 1 / 2 ) ) , m ( ln x ) α , α > 0

    Originally the first term was given incorrectly by x ϕ ( m ) .

    Reported 2017-12-04 by Gergő Nemes.