Remarks on systems of congruence classes

• Autorzy: Yong-Gao Chen , Štefan Porubský
• Języki publikacji: EN

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 11A07: Congruences; primitive roots; residue systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 1
• Strony: 1-10

Daty

wydano

1995

otrzymano

1993-10-26

poprawiono

1994-08-05

Twórcy

autor

Yong-Gao Chen

• Department of Mathematics, Nanjing Normal University, Nanjing 210024, Jiangsu Province, People Republic of China

autor

Štefan Porubský

• Department of Mathematics, Institute of Chemical Technology, Technická 1905, 166 28 Prague 6, Czech Republic

Bibliografia

• [1] M. A. Berger, A. Felzenbaum and A. S. Fraenkel, Improvements to the Newman-Znám result for disjoint covering systems, Acta Arith. 50 (1988), 1-13.
• [2] M. A. Berger, A. Felzenbaum and A. S. Fraenkel, Disjoint covering systems with precisely one multiple modulus, Acta Arith. 50 (1988), 171-182.
• [3] P. Erdős, Számleméleti megjegyzések IV, Mat. Lapok 13 (1962), 228-255.
• [4] M. Newman, Roots of unity and covering sets, Math. Ann. 191 (1971), 279-282.
• [5] Š. Porubský, Generalization of some results for exactly covering systems, Mat. Časopis Sloven. Akad. Vied. 22 (1972), 208-214.
• [6] Š. Porubský, Covering systems and generating functions, Acta Arith. 26 (1975), 223-231.
• [7] Š. Porubský, Natural exactly covering systems of congruences, Czechoslovak Math. J. 24 (99) (1974), 598-606.
• [8] Š. Porubský, On m times covering systems of congruences, Acta Arith. 29 (1976), 159-169.
• [9] S. K. Stein, Unions of arithmetic sequences, Math. Ann. 134 (1958), 289-294.
• [10] Z.-W. Sun, An improvement of Znám-Newman's result, Chinese Quart. J. Math. 6 (1991), 90-96.
• [11] Š. Znám, On exactly covering systems of arithmetic sequences, in: Number Theory, Colloq. Math. Soc. János Bolyai, Debrecen 1968, North-Holland, Amsterdam, 1970, 221-225.
• [12] Š. Znám, On exactly covering systems of arithmetic sequences, Math. Ann. 180 (1969), 227-232.
• [13] Š. Znám, Vector-covering systems of arithmetical sequences, Czechoslovak Math. J. 24 (99) (1974), 455-461.