The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer

2026/03/25 by Alessandra Migliaccio, Alessandro Zaccagnini
#math.NT

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Abstract

We extend a result by Ikeda and Suriajaya (2025) to find the asymptotic behaviour of the average number of representations of an integer n, over multiples of a fixed q≥ 2, as a sum of two prime k-th powers, for k≥ 2.

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