3 problems

Consider the Yukawa gas with scale parameter $t_0$, where removing the short-distance cutoff means taking $t_0\to -\infty$, and let the corresponding Mayer series have a radius of…

Let $b_{2j}$, $j=1,\ldots,n$, be the leading even coefficients of the Mayer series, and let $\beta_{2n}$ and $\beta_{2(n+1)}$ denote the corresponding inverse-temperature threshold…

Suppose that $v$ satisfies the stated pair-potential and uniformity assumptions. Let $R^\mathsf{May}(\beta)$ denote the radius of convergence of the Mayer series, and let…