Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Item added to bagSorry, there was a problem getting your bag informationItem cannot be purchased with the existing contents of your bagItem unavailable online
✕

was added to your bag.

Please try again.

Sorry, this item cannot be purchased in the same transaction as the existing items in your bag.

Please complete the purchase of the items currently in your bag and then add this item in a separate transaction or visit Shopping Help.

Sorry, this product is not currently available to buy online. Please visit Shopping Help.

View bag and checkout
Remove item
✕

Are you sure you want to remove from your bag?

Recommended product

Popular links

Popular links

Arithmetical Functions

All titles
Arithmetical Functions

Arithmetical Functions

Wolfgang Schwarz, Johann Wolfgang Goethe-Universität Frankfurt
Jürgen Spilker, Albert-Ludwigs-Universität Freiburg, Germany
March 1994
Available
Paperback
9780521427258
£63.00
GBP
Paperback
USD
eBook
    Description

    The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.

    Product details

    March 1994
    Paperback
    9780521427258
    388 pages
    228 × 152 × 21 mm
    0.55kg
    Available

    Often bought together

    Character Sums with Exponential Functions and their Applications
    Character Sums with Exponential Functions and their Applications

    : Hardback

    L-Functions and Galois Representations
    L-Functions and Galois Representations

    : Paperback

    Often bought together

    This title is available for institutional purchase via Cambridge Core

    Learn more
    cambridge core banner

    Related Journals

    Combinatorics, Probability and Computing
    Combinatorics, Probability and Computing

    : Journal

    Published bimonthly, Combinatorics, Probability & Computing is devoted to the three areas of combinatorics, probability theory and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial structures; combinatorial probability and limit theorems for random combinatorial structures; the theory of algorithms (including complexity theory), randomised algorithms, probabilistic analysis of algorithms, computational learning theory and optimisation.

    Theory and Practice of Logic Programming
    Theory and Practice of Logic Programming

    : Journal

    Theory and Practice of Logic Programming emphasises both the theory and practice of logic programming. Logic programming applies to all areas of artificial intelligence and computer science and is fundamental to all of them. Among the topics covered are AI applications that use logic programming, logic programming methodologies, specification, analysis and verification of systems, inductive logic programming, multi-relational data mining, natural language processing, knowledge representation, nonmonotonic reasoning, semantic web reasoning, databases, implementations and architectures and constraint logic programming.

    Journal of the Institute of Mathematics of Jussieu
    Journal of the Institute of Mathematics of Jussieu

    : Journal

    Journal of the Institute of Mathematics of Jussieu covers all domains in pure mathematics.

    Compositio Mathematica
    Compositio Mathematica

    : Journal

    Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and (geometric) analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content. Online access is free for all papers published 5 years ago or more. Papers published before 1997 are available from the NUMDAM website. Compositio is owned and published by non-profit organisations (the Foundation Compositio Mathematica and the London Mathematical Society) that use any surplus income from journal subscriptions to sponsor mathematics and mathematical research.

    Related Journals

    Also by this Author

    Contents

    Table of Contents

    • Preface
    • Acknowledgements
    • Notation
    • 1. Tools from number theory
    • Photographs
    • 2. Mean-value theorems and multiplicative functions, I
    • 3. Related arithmetical functions
    • 4. Uniformly almost-periodic arithmetical functions
    • 5. Ramanujan Expansions of functions in Bu
    • 6. Almost-periodic and almost-even arithmetical functions
    • Photographs
    • 7. The theorems of Elliott and Daboussi
    • 8. Ramanujan expansions
    • 9. Mean-value theorems and multiplicative functions, II
    • Photographs
    • Appendix
    • Bibliography
    • Author index
    • Subject index
    • Photographs
    • Acknowledgements.
      • Show more

    Look inside

    Courses
    Resources
    Additional Information
    About the authors
      Authors
    • Wolfgang Schwarz , Johann Wolfgang Goethe-Universität Frankfurt
    • Jürgen Spilker , Albert-Ludwigs-Universität Freiburg, Germany

    Browse by related subject

     
    ✕

    Sorry, this item cannot be purchased in the same transaction as the existing items in your cart.

    Please complete the purchase of the items currently in your cart and then add this item in a separate transaction or contact

    Customer Services