On the ternary Goldbach problem with primes in independent arithmetic progressions
| dc.creator | Halupczok, Karin | |
| dc.date | 2008-03-06 | |
| dc.date.accessioned | 2026-07-07T09:25:11Z | |
| dc.date.available | 2026-07-07T09:25:11Z | |
| dc.description | We show that for every fixed $A>0$ and $θ>0$ there is a $\vartheta=\vartheta(A,θ)>0$ with the following property. Let $n$ be odd and sufficiently large, and let $Q_{1}=Q_{2}:=n^{\h}(\log n)^{-\vartheta}$ and $Q_{3}:=(\log n)^θ$. Then for all $q_{3}\leq Q_{3}$, all reduced residues $a_{3}$ mod $q_{3}$, almost all $q_{2}\leq Q_{2}$, all admissible residues $a_{2}$ mod $q_{2}$, almost all $q_{1}\leq Q_{1}$ and all admissible residues $a_{1}$ mod $q_{1}$, there exists a representation $n=p_{1}+p_{2}+p_{3}$ with primes $p_{i}\equiv a_{i} (q_{i})$, $i=1,2,3$. | |
| dc.description | accepted for publication in Acta Math. Hungar | |
| dc.identifier | https://arxiv.org/abs/0803.0831 | |
| dc.identifier | http://arxiv.org/abs/0803.0831 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156322 | |
| dc.subject | Number Theory | |
| dc.subject | 11P32, 11P55, 11N36 | |
| dc.title | On the ternary Goldbach problem with primes in independent arithmetic progressions | |
| dc.type | text |