Remarks on systems of congruence classes

Yong-Gao Chen; Štefan Porubský

Acta Arithmetica (1995)

  • Volume: 71, Issue: 1, page 1-10
  • ISSN: 0065-1036

How to cite

top

Yong-Gao Chen, and Štefan Porubský. "Remarks on systems of congruence classes." Acta Arithmetica 71.1 (1995): 1-10. <http://eudml.org/doc/206758>.

@article{Yong1995,
author = {Yong-Gao Chen, Štefan Porubský},
journal = {Acta Arithmetica},
keywords = {covering systems of congruences; Znám’s conjecture; divmax; covering function; lower bound; number of moduli in a division chain of moduli},
language = {eng},
number = {1},
pages = {1-10},
title = {Remarks on systems of congruence classes},
url = {http://eudml.org/doc/206758},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Yong-Gao Chen
AU - Štefan Porubský
TI - Remarks on systems of congruence classes
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 1
SP - 1
EP - 10
LA - eng
KW - covering systems of congruences; Znám’s conjecture; divmax; covering function; lower bound; number of moduli in a division chain of moduli
UR - http://eudml.org/doc/206758
ER -

References

top
  1. [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. Zbl0551.10003
  2. [2] M. A. Berger, A. Felzenbaum and A. S. Fraenkel, Disjoint covering systems with precisely one multiple modulus, Acta Arith. 50 (1988), 171-182. Zbl0647.10005
  3. [3] P. Erdős, Számleméleti megjegyzések IV, Mat. Lapok 13 (1962), 228-255. 
  4. [4] M. Newman, Roots of unity and covering sets, Math. Ann. 191 (1971), 279-282. 
  5. [5] Š. Porubský, Generalization of some results for exactly covering systems, Mat. Časopis Sloven. Akad. Vied. 22 (1972), 208-214. Zbl0238.10040
  6. [6] Š. Porubský, Covering systems and generating functions, Acta Arith. 26 (1975), 223-231. Zbl0268.10044
  7. [7] Š. Porubský, Natural exactly covering systems of congruences, Czechoslovak Math. J. 24 (99) (1974), 598-606. Zbl0327.10005
  8. [8] Š. Porubský, On m times covering systems of congruences, Acta Arith. 29 (1976), 159-169. Zbl0282.10033
  9. [9] S. K. Stein, Unions of arithmetic sequences, Math. Ann. 134 (1958), 289-294. Zbl0084.04302
  10. [10] Z.-W. Sun, An improvement of Znám-Newman's result, Chinese Quart. J. Math. 6 (1991), 90-96. 
  11. [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. [12] Š. Znám, On exactly covering systems of arithmetic sequences, Math. Ann. 180 (1969), 227-232. Zbl0169.37405
  13. [13] Š. Znám, Vector-covering systems of arithmetical sequences, Czechoslovak Math. J. 24 (99) (1974), 455-461. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.