absolute convergence

(redirected from Absolutely convergent series)
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Related to Absolutely convergent series: Unconditionally convergent

absolute convergence

[′ab·sə‚lüt kən′vərj·əns]
(mathematics)
That property of an infinite series (or infinite product) of real or complex numbers if the series (product) of absolute values converges; absolute convergence implies convergence.
References in periodicals archive ?
that [[delta].sub.m](n) [much less than] n, so it is clear that f(s) is an absolutely convergent series for Re(s) > 2, by the Euler product formula [2] and the definition of [[delta].sub.m](n) we get
is a partial sum of an absolutely convergent series restricted to classes p with N(p) sufficiently large.