3 problems

Let $f$ be a singular complex analytic germ at $0\in\mathbb{C}^{n}$ with $f(0)=0$, and let $\varphi$ be a Schwarz function on $\mathbb{C}^{n}$ with sufficiently small support and…

Fix $N$ and let $Z_{\mathbb{R}}^{(N)}(\boldsymbol{s})$ and $Z_{\mathbb{Q}_p}^{(N)}(\boldsymbol{s})$ denote the archimedean and $p$-adic local zeta functions, respectively, regarded…

Let $F$ be a number field, let $K$ be a completion of $F$, and let $Z_{\Phi}(s,\chi,f_l,V_{l-1},K)$ be the local zeta function associated with the complex non-degenerate polynomial…