Romik's conjecture on the p-adic properties of the sequence d(n)
Let d(n)d(n)d(n) be the integer sequence defined by … where θ3(z):=∑n=−∞∞eπin2z\theta_3(z):=\sum_{n=-\infty}^{\infty}e^{\pi i n^2z}θ3(z):=∑n=−∞∞eπin2z. Romik's conjecture. Let ppp be an odd prime. Then: 1. If…