Addition of Sequences: Study of Density Relationships

H. Halberstam and K. F. Roth
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H. Halberstam: University of Illinois, Department of Mathematics
K. F. Roth: Imperial College of Science and Technology, Department of Mathematics

Chapter I in Sequences, 1983, pp 1-75 from Springer

Abstract: Abstract Let ℒ denote the set of all integers. Although ℒ is not itself a sequence, we shall sometimes use the phrase ‘subsequence of ℒ’ to describe a monotone strictly increasing sequence of integers. Let ℒ0 denote the sequence of all non-negative integers and ℒ1 the sequence of all natural numbers. Throughout the first five sections of this chapter the letters A, ℬ, C,... stand for subsequences of ℒ0; the letters a, b, c,... stand for elements of A, ℬ, C,... respectively.

Keywords: Natural Number; Positive Element; Zero Element; Residue Class; Minimal Property (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4613-8227-0_1

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