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Titlebook: Sequences; H. Halberstam,K. F. Roth Book 1983 Springer-Verlag New York Inc. 1983 Additive Zahlentheorie.Folge (Math.).Prime.Prime number.S

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https://doi.org/10.1007/978-1-4613-8227-0Additive Zahlentheorie; Folge (Math; ); Prime; Prime number; Sequences; finite field; number theory
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Addition of Sequences: Study of Density Relationships,trictly increasing sequence of integers. Let ℒ. denote the sequence of all non-negative integers and ℒ. the sequence of all natural numbers. Throughout the first five sections of this chapter the letters ., ℬ, .,... stand for subsequences of ℒ.; the letters .,... stand for elements of ., ℬ, .,... respectively.
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Sieve Methods,k and Rényi in § 10 fall most naturally within the scope of this book; they are theorems of surprising generality, and are of intrinsic interest quite apart from their applications to sieve problems. The sieves of Brun and Selberg, on the other hand, are effective only when applied to sequences of r
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Book 1983the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con­ sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one‘s
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Primitive Sequences and Sets of Multiples,.). Whilst none of our arguments will depend on ordering ℬ, it will often be convenient (to facilitate description and for reasons of notation) to imagine ℬ to be ordered according to magnitude and to refer to it as a ‘sequence’.
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