论文标题
一般多个Dirichlet系列来自不良滑轮
General multiple Dirichlet series from perverse sheaves
论文作者
论文摘要
我们在功能字段$ \ mathbb f_q（t）$上给出了多个Dirichlet系列的公理表征，从而概括了DiaConu和Pasol给出的一组公理。关键的公理，将素数的系数与系数的总和相关联，使Chinta的观察正式。通过将系数显示为显式不良皮带的痕量函数并使用不正确的滑轮的特性，证明了满足这些公理的多个Dirichlet系列的存在。多个Dirichlet系列定义了这种方式，包括特殊情况，许多以前出现在文献中。
We give an axiomatic characterization of multiple Dirichlet series over the function field $\mathbb F_q(T)$, generalizing a set of axioms given by Diaconu and Pasol. The key axiom, relating the coefficients at prime powers to sums of the coefficients, formalizes an observation of Chinta. The existence of multiple Dirichlet series satisfying these axioms is proved by exhibiting the coefficients as trace functions of explicit perverse sheaves and using properties of perverse sheaves. The multiple Dirichlet series defined this way include, as special cases, many that have appeared previously in the literature.
