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math.NT2019
Cesàro averages for Goldbach representations with summands in arithmetic progressions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
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…
math.NT2019
A note on an average additive problem with prime numbers
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
We continue investigations on the average number of representations of a large positive integer as a sum of given powers of prime numbers. The average is taken over a short interva…