Abstract
In the applications of sieve ideas to number-theoretic situations considered earlier in this book, the remainder terms R ± appearing in Theorem 1.3.1 have been dealt with in the so-called trivial way used to infer Corollary 1.3.1.1, in which we said simply
when |λ(d)| for each d. On the other hand, in many situations there is much more information available about r A(d) than is conveyed by bounds of its absolute value, as the following illustration indicates.
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© 2001 Springer-Verlag Berlin Heidelberg
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Greaves, G. (2001). The Remainder Term in the Linear Sieve. In: Sieves in Number Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04658-6_7
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DOI: https://doi.org/10.1007/978-3-662-04658-6_7
Publisher Name: Springer, Berlin, Heidelberg
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