A non-analytic proof of the newman—znám result for disjoint covering systems |
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| Authors: | M. A. Berger A. Felzenbaum A. S. Fraenkel |
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| Affiliation: | (1) Faculty of Math. Sciences, The Weizmann Institute of Science, 76100 Rehavot, Israel |
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| Abstract: | A direct combinatorial proof is given to a generalization of the fact that the largest modulusN of a disjoint covering system appears at leastp times in the system, wherep is the smallest prime dividingN. The method is based on geometric properties of lattice parallelotopes. This research was supported by grant 85-00368 from the United States-Is rael Binational Science Foundation, Jerusalem, Israel. |
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| Keywords: | 10 A 10 10 A 50 10 E 30 10 L 20 51 A 15 |
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