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**The distribution of prime numbers.
Paperback edition.**
*(English)*
Zbl 0715.11045

Cambridge Tracts in Mathematics and Mathematical Physics, 30; Cambridge Mathematical Library. Cambridge etc.: Cambridge University Press. xvii, 114 p. £9.95; $ 17.95 (1990).

The value of this reissue has been greatly enhanced by the carefully chosen comments and the list of references R. C. Vaughan has added to this classical number theory text, first published in 1932 (for a review see Zbl 0006.39701), and reprinted back in 1964. The best recommendation is given by R. C. Vaughan himself (quoted from his foreword): “As an introduction to the distribution of primes Ingham’s tract is still unsurpassed, combining an economy of detail with a clarity of exposition which eases the novice’s way into this, sometimes technically ferocious, area. In spite of the fact that it has been out of print for many years I usually place it at, or near, the top of the reading list for graduate students.”

Reviewer: O.Ninnemann

### MSC:

11Nxx | Multiplicative number theory |

11Mxx | Zeta and \(L\)-functions: analytic theory |

11-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory |

01A75 | Collected or selected works; reprintings or translations of classics |

11M06 | \(\zeta (s)\) and \(L(s, \chi)\) |

11M26 | Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses |

11N05 | Distribution of primes |