Primes are Complete for a Class of $N$-Bernoulli Convolutions Spectral Pair

Zi-Chao Chi, Jian-Feng Lu, He-Xiang Wang

We study the complete number problem for a class of self-similar spectral measures on the real line. For a spectral pair $(\mu ,\Lambda )$, a real number $t$ is called complete if $t\Lambda$ is al…