
doi: 10.5802/jtnb.951
Let P r denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper it is proved that for every sufficiently large odd integer N , the equation N = x 2 + p 1 3 + p 2 3 + p 3 3 + p 4 3 + p 5 6 + p 6 7 is solvable with x being an almost-prime P 42 and the other terms powers of primes.
Applications of sieve methods, Waring-Goldbach problem, sieve method, almost-prime, Goldbach-type theorems; other additive questions involving primes, circle method
Applications of sieve methods, Waring-Goldbach problem, sieve method, almost-prime, Goldbach-type theorems; other additive questions involving primes, circle method
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
