On sums of distinct representatives

• Autorzy: Hui-Qin Cao , Zhi-Wei Sun
• Języki publikacji: EN

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 05A05: Permutations, words, matrices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998-1999
• Tom: 87
• Numer: 2
• Strony: 159-169

Daty

wydano

1998

otrzymano

1998-03-01

poprawiono

1998-08-09

Twórcy

autor

Hui-Qin Cao

• The Fundamental Division, Nanjing Auditing College, Nanjing 210029, The People's Republic of China

autor

Zhi-Wei Sun

• Department of Mathematics, Nanjing University, Nanjing 210093, The People's Republic of China

Bibliografia

• [ANR1] N. Alon, M. B. Nathanson and I. Z. Ruzsa, Adding distinct congruence classes modulo a prime, Amer. Math. Monthly 102 (1995), 250-255.
• [ANR2] N. Alon, M. B. Nathanson and I. Z. Ruzsa, The polynomial method and restricted sums of congruence classes, J. Number Theory 56 (1996), 404-417.
• [B] Y. Bilu, Addition of sets of integers of positive density, ibid. 64 (1997), 233-275.
• [DH] J. A. Dias da Silva and Y. O. Hamidoune, Cyclic space for Grassmann derivatives and additive theory, Bull. London Math. Soc. 26 (1994), 140-146.
• [EH] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 ( 196), 4149-159.
• [G] R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer, New York, 1994, 129-131.
• [H] P. Hall, On representatives of subsets, J. London Math. Soc. 10 (1935), 26-30.
• [J] N. Jacobson, Basic Algebra I, 2nd ed., W. H. Freeman and Company, New York, 1985.
• [N] M. B. Nathanson, Inverse theorems for subset sums, Trans. Amer. Math. Soc. 347 (1995), 1409-1418.