Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer with parity on the number of prime factors
Yau, Kam Hung
arXiv, Tome 2019 (2019) no. 0, / Harvested from
Uniformly for small $q$ and $(a,q)=1$, we obtain an estimate for the weighted number of ways a sufficiently large integer can be represented as the sum of a prime congruent to $a$ modulo $q$ and a square-free integer with an even (or odd) number of prime factors. Our method is based on the notion of local model developed by Ramar\'e and may be viewed as an abstract circle method.
Publié le : 2019-04-14
Classification:  Mathematics - Number Theory 
@article{1904.06783,
     author = {Yau, Kam Hung},
     title = {Representation of an integer as the sum of a prime in arithmetic
  progression and a square-free integer with parity on the number of prime
  factors},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1904.06783}
}

Yau, Kam Hung. Representation of an integer as the sum of a prime in arithmetic
  progression and a square-free integer with parity on the number of prime
  factors. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1904.06783/