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In the field of mathematical analysis, a general Dirichlet series is an infinite series that takes the form of
where a n {\displaystyle a_{n}} , s {\displaystyle s} are complex numbers and { λ n } {\displaystyle \{\lambda _{n}\}} is a strictly increasing sequence of nonnegative real numbers that tends to infinity.
A simple observation shows that an 'ordinary' Dirichlet series
is obtained by substituting λ n = ln n {\displaystyle \lambda _{n}=\ln n} while a power series
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