On the additive completion of primes

• Autorzy: Imre Z. Ruzsa
• Języki publikacji: EN

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 11P32: Goldbach-type theorems; other additive questions involving primes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 3
• Strony: 269-275

Daty

wydano

1998

otrzymano

1998-03-03

poprawiono

1998-05-25

Twórcy

autor

Imre Z. Ruzsa

• Mathematical Institute of the Hungarian Academy of Sciences, Pf. 127, H-1364 Budapest, Hungary

Bibliografia

• [1] N. Alon and J. H. Spencer, The Probabilistic Method, Wiley, New York, 1992.
• [2] P. Erdős, Some results on additive number theory, Proc. Amer. Math. Soc. 5 (1954), 847-853.
• [3] J. D. Esary, F. Proschan and D. W. Walkup, Association of random variables, with applications, Ann. Math. Statist. 38 (1967), 1366-1374.
• [4] C. M. Fortuin and P. W. Kasteleyn, Correlation inequalities on some partially ordered sets, Comm. Math. Phys. 22 (1971), 89-103.
• [5] H. Halberstam and K. F. Roth, Sequences, Clarendon, London, 1966 (2nd ed., Springer, New York, 1983).
• [6] M. N. Kolountzakis, On the additive complements of the primes and sets of similar growth, Acta Arith. 77 (1996), 1-8.
• [7] D. Wolke, On a problem of Erdős in additive number theory, J. Number Theory 59 (1996), 209-213.