\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{General results}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Alternating Dirichlet series}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Mean values and alternating sums}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{Method to obtain asymptotic formulas}{section.2}% 5
\BOOKMARK [2][-]{subsection.2.4}{Two general asymptotic formulas}{section.2}% 6
\BOOKMARK [1][-]{section.3}{Estimates on coefficients of reciprocal power series}{}% 7
\BOOKMARK [2][-]{subsection.3.1}{Theorem of Kaluza}{section.3}% 8
\BOOKMARK [2][-]{subsection.3.2}{Kendall's renewal theorem}{section.3}% 9
\BOOKMARK [1][-]{section.4}{Results for classical functions}{}% 10
\BOOKMARK [2][-]{subsection.4.1}{Euler's totient function}{section.4}% 11
\BOOKMARK [2][-]{subsection.4.2}{Dedekind function}{section.4}% 12
\BOOKMARK [2][-]{subsection.4.3}{Sum-of-divisors function}{section.4}% 13
\BOOKMARK [2][-]{subsection.4.4}{Divisor function}{section.4}% 14
\BOOKMARK [2][-]{subsection.4.5}{Gcd-sum function}{section.4}% 15
\BOOKMARK [2][-]{subsection.4.6}{Squarefree kernel}{section.4}% 16
\BOOKMARK [2][-]{subsection.4.7}{Squarefree numbers}{section.4}% 17
\BOOKMARK [2][-]{subsection.4.8}{Number of abelian groups of a given order}{section.4}% 18
\BOOKMARK [2][-]{subsection.4.9}{Sum-of-unitary-divisors function}{section.4}% 19
\BOOKMARK [2][-]{subsection.4.10}{Unitary Euler function}{section.4}% 20
\BOOKMARK [2][-]{subsection.4.11}{Unitary squarefree kernel}{section.4}% 21
\BOOKMARK [2][-]{subsection.4.12}{Powerful part of a number}{section.4}% 22
\BOOKMARK [2][-]{subsection.4.13}{Sum-of-bi-unitary-divisors function}{section.4}% 23
\BOOKMARK [2][-]{subsection.4.14}{Alternating sum-of-divisors function}{section.4}% 24
\BOOKMARK [2][-]{subsection.4.15}{Exponential divisor function}{section.4}% 25
\BOOKMARK [1][-]{section.5}{Generalized alternating sums}{}% 26
\BOOKMARK [1][-]{section.6}{Acknowledgments}{}% 27