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A conjecture on sets of differences of integer pairs

✍ Scribed by D Perrin; M.P Schützenberger


Book ID
107884141
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
117 KB
Volume
30
Category
Article
ISSN
0095-8956

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📜 SIMILAR VOLUMES


A conjecture on the existence of cyclic
✍ Solomon W. Golomb; Hong-Yeop Song 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 146 KB

If there exists a cyclic Hadamard difference set of length v, then v = 4n -1 is conjectured to be either a prime, or a product of "twin primes", or one less than a power of 2.

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This paper deals with the problem of finding the maximal density, +(M), of sets of integers in which differences given by a set M do not occur. The problem is solved for the case where the elements of M are in arithmetic progression. Besides finding lower bounds for most members of the general three