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On the expressive power of univariate equations over sets of natural numbers

✍ Scribed by Alexander Okhotin; Panos Rondogiannis


Book ID
113642033
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
228 KB
Volume
212
Category
Article
ISSN
0890-5401

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On the Number of Solutions of a Linear E
✍ Vsevolod F. Lev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 300 KB

The largest possible number of representations of an integer in the k-fold sumset kA=A+ } } } +A is maximal for A being an arithmetic progression. More generally, consider the number of solutions of the linear equation where c i {0 and \* are fixed integer coefficients, and where the variables a i