Abstract
AbstractLet ℕ, ℕ0, ℤ and ℕd denote, respectively, the sets of positive integers, non-negative integers, integers and d-dimensional integral lattice points. Let G denote an arbitrary abelian group and let X denote an arbitrary abelian semigroup, written additively. Let |S| denote the cardinality of the set S. For any sets A and B, we write A∼B if their symmetric difference is finite, that is, if |(A \ B) ∪ (B \ A) | < ∞.KeywordsLinear FormRepresentation FunctionCayley GraphArithmetic ProgressionCounting FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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