We provide a survey of identities for sums of the type ∑n≤x a(n) log(x=n): In each case, a(n) is an arithmetical function generated by a Dirichlet series satisfying a functional equation involving the gamma function. Moreover, all of the identities given in this paper feature infinite series of Bessel functions.
|Original language||English (US)|
|Title of host publication||Fields Institute Communications|
|Number of pages||10|
|State||Published - Jan 1 2015|
|Name||Fields Institute Communications|
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