5 problems

Let $Q(n)$ be the sequence and define the clock sequences … Let $\phi_1$ and $\phi_2$ be bounded or slowly varying functions. Dyadic clock structure conjecture. There appear to exi…

Let $E(n)$ denote the fluctuation term and let $\epsilon(n)$ denote a bounded perturbation. Dyadic renormalization conjecture. The fluctuation term approximately satisfies … This h…

Let $Q(n)$ be the sequence, let $\log_2 n$ denote the base-two logarithm, and let $\rho(n)$ be a smaller correction term. Log-periodic modulation conjecture. There appears to exist…

Let $F(m)$ be the frequency sequence and let … For each block, let $m_k$ be an index at which $F(m)$ attains its maximum. Peak location law. The peak locations satisfy … Numerical…

Dyadic frequency law. The frequencies $F(m)$ satisfy