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Combinatorial sieves of dimension exceeding one II

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Analytic Number Theory

Part of the book series: Progress in Mathematics ((PM,volume 138))

Abstract

In an earlier paper bearing the same title, [DHR 1], we showed how to construct a class of sieves of dimension κ > 1 on the assumption of a certain analytic result, referred to there as Theorem 0, for a boundary value problem involving a pair of simultaneous linear differential delay equations, with κ as a parameter. In subsequent papers we proved Theorem 0 for various ranges of values of κ, and here we complete the proof, thereby validating unconditionally the main result of [DHR 1].

Professor Richert died on November 25, 1993.

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© 1996 Birkhäuser Boston

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Diamond, H.G., Halberstam, H., Richert, HE. (1996). Combinatorial sieves of dimension exceeding one II. In: Berndt, B.C., Diamond, H.G., Hildebrand, A.J. (eds) Analytic Number Theory. Progress in Mathematics, vol 138. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4086-0_15

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  • DOI: https://doi.org/10.1007/978-1-4612-4086-0_15

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8645-5

  • Online ISBN: 978-1-4612-4086-0

  • eBook Packages: Springer Book Archive

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