Nested binomial sums form a particular class of sums that arise in the context of particle physics computations at higher orders in perturbation theory within QCD and QED, but that are also mathematically relevant, e.g., in combinatorics. We present the package RICA (Rule Induced Convolutions for Asymptotics), which aims at calculating Mellin representations and asymptotic expansions at infinity of those objects. These representations are of particular interest to perform analytic continuations of such sums.

翻译：嵌套二项和是一类特殊求和形式，出现在微扰论框架下量子色动力学（QCD）和量子电动力学（QED）中高阶粒子物理计算中，同时也在组合数学等领域具有数学重要性。本文介绍RICA软件包（渐近分析的规则诱导卷积），该软件包旨在计算这些对象的梅林表示及其在无穷远处的渐近展开。此类表示对于实现这些求和的解析延拓具有特殊价值。