Say we have the function $$G(z) = \sum_{n \geq 0} g_n z^n.$$
Is there a name for the transform T defined so that $$(T(G))(z) = \sum_{n \geq 0} g_n z^{n^2}?$$
Is there anything known about this kind of transformation?
2026-04-08 09:39:39.1775641179
What is known about the transformation of a power series in which $z^n$ is replaced with $z^{n^2}$?
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