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arxiv: 1606.00869 · v2 · pith:EBES6WNMnew · submitted 2016-06-02 · 🧮 math.NT

Ces\`aro average in short intervals for Goldbach numbers

classification 🧮 math.NT
keywords intervalsshortaveragecesaro-averagedexplicitformulagoldbachholds
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We prove that a suitable explicit formula for the Cesaro-averaged number of representations of an integer as a sum of two primes holds in short intervals.

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