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cs.SC2026
A Generalisation of Goursat's Algorithm for Integration in Finite Terms
Sam Blake
We give a self-contained, modern exposition of Édouard Goursat's 1887 theorem on pseudo-elliptic integrals -- those integrals of the form $\int F(t)\,\d t/\sqrt{R(t)}$ with a c…
cs.IT2026
On the Non-existence of Perfect Sequences with the Array Orthogonality Property
Sam Blake
For over three decades, the pursuit of perfect periodic autocorrelation sequences has been constrained by Mow's conjecture, which posits that no perfect sequence over an -phase…