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Sums of primes and squares of primes in short intervals
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kumchev, Angel V. |
| Copyright Year | 2007 |
| Abstract | Let $${\mathcal H_2}$$ denote the set of even integers $${n \not\equiv 1 \pmod 3}$$ . We prove that when H ≥ X0.33, almost all integers $${n \in \mathcal H_2 \cap (X, X + H]}$$ can be represented as the sum of a prime and the square of a prime. We also prove a similar result for sums of three squares of primes. |
| Starting Page | 335 |
| Ending Page | 363 |
| Page Count | 29 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00605-008-0047-1 |
| Alternate Webpage(s) | https://arxiv.org/pdf/0801.0130v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0801.0130v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00605-008-0047-1 |
| Volume Number | 157 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
