For each k at least 2, the conjugacy growth series of BS(1,k) with respect to the standard generating set is transcendental, and its growth rate equals the standard growth rate.
Formal conjugacy growt h in acylindrically hyperbolic groups
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The conjugacy growth of the soluble Baumslag-Solitar groups
For each k at least 2, the conjugacy growth series of BS(1,k) with respect to the standard generating set is transcendental, and its growth rate equals the standard growth rate.