For N-Bernoulli convolution spectral pairs, an integer t is a complete scaling exactly when a certain fractal set contains a nonzero integer, and this yields new density bounds and infinitely many primitive complete and incomplete numbers.
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On a distinctive property of Fourier bases associated with $N$- Bernoulli Convolutions
For N-Bernoulli convolution spectral pairs, an integer t is a complete scaling exactly when a certain fractal set contains a nonzero integer, and this yields new density bounds and infinitely many primitive complete and incomplete numbers.