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arXiv · 1911.07220

Ces\`aro averages for Goldbach representations with summands in arithmetic progressions

Marco Cantarini·Alessandro Gambini·Alessandro Zaccagnini
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Abstract

We consider weighted averages of the number of representations of an even integer as a sum of two prime numbers, where each summand lies in a given arithmetic progression modulo a common integer $q$. Our result is uniform in a suitable range for $q$.

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Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini. 2019-11-17. Ces\`aro averages for Goldbach representations with summands in arithmetic progressions. https://arxiv.org/abs/1911.07220

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