3 problems

For each pair $(a,b)$ of positive integers, let $C(a,b)$ denote the elliptic curve associated with the resonant Rossby wave construction. For $N\geq 1$, consider the curves…

Let $\Lambda'$ be the primitive resonant wavevector set, consisting of integer pairs $(a,b)$. Fix a nonzero integer $a$ and consider the integer values $b$ for which $(a,b)$ is pri…

Let $\Lambda$ be the wavenumber set, whose elements are pairs $(a,b)$. For positive $a,b$, consider resonant Rossby waves with fixed meridional wavenumber $b$. Horizontal-line fini…