We consider the counting function of ideals in a given ideal class of a number field of degree d. This describes, at least conjecturally, the Fourier coefficients of an automorphic form on $\text{GL}(d)$, typically not a Hecke eigenform and not cuspidal. We compute its moments, and also investigate the moments of the corresponding cuspidal projection.

中文翻译：

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理想类计数函数的矩

我们考虑d度数域的给定理想类中理想的计数函数。至少在推测上，这描述了自同构形式的傅立叶系数$\text{GL}（d）$，通常不是赫克本征形，也不是尖角形。我们计算它的矩，并研究相应的尖投影的矩。