While researching some control and optimization algorithms I encountered power series in the form $$\sum_{k=1}^\infty z^{k^2}, \text{ and also } \sum_{k=1}^\infty k z^{k^2}.$$ I know nothing about series in which not all terms appear, only those whose orders are perfect squares. Would anyone kindly suggest elementary references on such series?
2026-04-07 19:29:31.1775590171
Power series on index squared
88 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in POWER-SERIES
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