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  • Book
  • © 1971

Topics in Multiplicative Number Theory

Part of the book series: Lecture Notes in Mathematics (LNM, volume 227)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-IX
  2. Three basic principles

    • Hugh L. Montgomery
    Pages 1-10
  3. The large sieve

    • Hugh L. Montgomery
    Pages 11-22
  4. Arithmetic formulations of the large sieve

    • Hugh L. Montgomery
    Pages 23-30
  5. A weighted sieve and its application

    • Hugh L. Montgomery
    Pages 31-44
  6. A lower bound of Roth

    • Hugh L. Montgomery
    Pages 45-49
  7. Classical mean value theorems

    • Hugh L. Montgomery
    Pages 50-57
  8. New mean value theorems

    • Hugh L. Montgomery
    Pages 58-63
  9. Large moduli theorems

    • Hugh L. Montgomery
    Pages 64-68
  10. Mean moduli of L-functions

    • Hugh L. Montgomery
    Pages 74-84
  11. Zero-free regions and the proliferation of zeros

    • Hugh L. Montgomery
    Pages 85-94
  12. Distribution of zeros of L-functions

    • Hugh L. Montgomery
    Pages 95-116
  13. Least character non-residues and arg L(12+it, x)

    • Hugh L. Montgomery
    Pages 117-129
  14. The prime number theorems of Hoheisel and Selberg

    • Hugh L. Montgomery
    Pages 130-132
  15. A lemma in additive prime number theory

    • Hugh L. Montgomery
    Pages 141-144
  16. The mean value theorem of Barban

    • Hugh L. Montgomery
    Pages 145-154
  17. Back Matter

    Pages 155-178

Keywords

  • Lemma
  • Mean value theorem
  • Prime
  • Sieve
  • arithmetic
  • boundary element method
  • character
  • distribution
  • form
  • function
  • functions
  • number theory
  • prime number
  • residue
  • theorem

Bibliographic Information

  • Book Title: Topics in Multiplicative Number Theory

  • Authors: Hugh L. Montgomery

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0060851

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1971

  • Softcover ISBN: 978-3-540-05641-6Published: 01 January 1971

  • eBook ISBN: 978-3-540-36935-6Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 178

  • Topics: Number Theory

Buying options

eBook USD 19.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions