3 problems

Let $F_0$ have a continuous positive density $f_0$ on $(0,M)$, where $M>0$, and let $t_0\to(a,b)$ be an interior point. Let $\hat F_n$ be the nonparametric maximum likelihood estim…

Secondary-term product conjecture. Then the asymptotic distribution of $G_1\times G_2$-extensions has a secondary term of order $X^{c_1/n_2}$. The conjecture proposes a general mec…

Let $\phi$ be Euler's totient function. For $x\geqslant 1$, let $V(x)$ be the number of totients at most $x$, and for an integer $k\geqslant 1$, let $V_k(x)$ be the number of totie…