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The Mathematical Work of Bernt Lindström

✍ Scribed by Anders Björner


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
270 KB
Volume
14
Category
Article
ISSN
0195-6698

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📜 SIMILAR VOLUMES


Another Generalization of Lindström's Th
✍ Uwe Leck 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 185 KB

We consider the poset P ðN ; A 1 ; A 2 ; . . . ; A m Þ consisting of all subsets of a finite set N which do not contain any of the A i 's, where the A i 's are mutually disjoint subsets of N : The elements of P are ordered by inclusion. We show that P belongs to the class of Macaulay posets, i.e. we

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On the Binary Digits of a Power
✍ Bernt Lindström 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 399 KB

Let B(m) denote the number of ones in the binary expansion of an integer m 2. We prove that lim sup m Ä B(m h )Âlog 2 m=h for integers h 2. We also prove the same result with m h replaced by any polynomial a 0 m h +a 1 m h&1 + } } } +a h with integer coefficients and a 0 >0. ## 1997 Academic Press