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math.NT2026
Elliptic curves, Fourier ratio, and sampling complexity
W. Burstein, A. Iosevich, A. Sant
We study the normalized Frobenius trace associated with the Legendre family of elliptic curves over from the point of view of Fourier complexity. If \[ f(t)=\frac{a_p…
math.NT2026
Arithmetic functions and learning theory
W. Burstein, A. Iosevich, A. Sant
We establish a connection between analytic number theory and computational learning theory by showing that the Möbius function belongs to a class of functions that is statistically…