Investigation of power moments of norm-counting functions in ideal representations across integers in cubic fields, suggesting new insights into number theory.
Let , k ≥ 2 be integers. In this article, we investigate the th power moments of the arithmetic function τk,K(n), which counts the number of ways n can be expressed as a product of norms of k non-zero ideals in the ring of integers of a non-normal cubic field K, evaluated over integers represented as sums of eight squares.
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Godara et al. (2026) studied this question.
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