Sulla partizione degli interi in addendi primi col procedimento del residuo minimo.
Giovanni Ricci (1955)
Bollettino dell'Unione Matematica Italiana
Hongze Li (2008)
Acta Arithmetica
Kaisa Matomäki (2013)
Acta Arithmetica
We show that if A and B are subsets of the primes with positive relative lower densities α and β, then the lower density of A+B in the natural numbers is at least , which is asymptotically best possible. This improves results of Ramaré and Ruzsa and of Chipeniuk and Hamel. As in the latter work, the problem is reduced to a similar problem for subsets of using techniques of Green and Green-Tao. Concerning this new problem we show that, for any square-free m and any of densities α and β, the...
Stefan Porubsky (1978/1979)
Monatshefte für Mathematik
Andrzej Schinzel, Wacław Sierpiński (1958)
Acta Arithmetica
Jean-Marc Deshouillers (1975/1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
J. G. Van der Corput (1939)
Bulletin de la Société Mathématique de France
J van der Corput (1936)
Acta Arithmetica
Li-Xia Dai, Hao Pan (2014)
Acta Arithmetica
We extend two results of Ruzsa and Vu on the additive complements of primes.
János Pintz (2012)
Acta Arithmetica
Binbin Zhou (2009)
Acta Arithmetica
Wenxu Ge, Feng Zhao (2018)
Czechoslovak Mathematical Journal
Suppose that are nonzero real numbers, not all negative, , is a well-spaced set, and the ratio is algebraic and irrational. Denote by the number of with such that the inequality has no solution in primes , , , . We show that for any .
Hongze Li (2000)
Acta Arithmetica
1. Introduction. A positive number which is a sum of two odd primes is called a Goldbach number. Let E(x) denote the number of even numbers not exceeding x which cannot be written as a sum of two odd primes. Then the Goldbach conjecture is equivalent to proving that E(x) = 2 for every x ≥ 4. E(x) is usually called the exceptional set of Goldbach numbers. In [8] H. L. Montgomery and R. C. Vaughan proved that for some positive constant Δ > 0. In this paper we prove the following result. Theorem....
H. Montgomery, R. Vaughan (1975)
Acta Arithmetica
Renze, John, Wagon, Stan, Wick, Brian (2001)
Experimental Mathematics
Henryk Iwaniec (1975)
Acta Arithmetica
Shaoji Feng, Xiaosheng Wu (2012)
Acta Arithmetica
Hongze Li (2000)
Acta Arithmetica
Hongze Li (2001)
Acta Arithmetica
Liqun Hu, Li Yang (2011)
Acta Arithmetica