A note on an average additive problem with prime numbers
Abstract
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 interval, whose admissible length depends on whether or not we assume the Riemann Hypothesis.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2019
- DOI:
- 10.48550/arXiv.1901.04481
- arXiv:
- arXiv:1901.04481
- Bibcode:
- 2019arXiv190104481C
- Keywords:
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- Mathematics - Number Theory;
- Primary 11P32. Secondary 11P55;
- 11P05
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:1810.03020