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The Theory of Arithmetic Functions

Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971

  • Conference proceedings
  • © 1972

Overview

Editors:
  1. Anthony A. Gioia
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  2. Donald L. Goldsmith
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 251)

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Table of contents (17 papers)

  1. Front Matter

    Pages N2-VI
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  2. Sieves for theorems of Euler, Rogers, and Ramanujan

    • George E. Andrews
    Pages 1-20

  3. The Voronoï summation formula

    • Bruce C. Berndt
    Pages 21-36

  4. The arithmetic functions of the Jacobi-Perron Algorithm

    • Leon Bernstein
    Pages 37-63

  5. Eulerian numbers and operators

    • L. Carlitz
    Pages 65-70

  6. Some functions related to Fibonacci and lucas representations

    • L. Carlitz, V. E. Hoggatt, Richard Scoville
    Pages 71-102

  7. On the classification and evaluation of some partition functions and their tables

    • L. M. Chawla, John E. Maxfield
    Pages 103-112

  8. Two oscillation theorems

    • Harold G. Diamond
    Pages 113-118

  9. On the iterates of some arithmetic functions

    • P. Erdös, M. V. Subbarao
    Pages 119-125

  10. Distribution of additive and multiplicative functions

    • Janos Galambos
    Pages 127-139

  11. Oscillation theorems

    • Emil Grosswald
    Pages 141-168

  12. Curves with abnormally many integral points

    • D. J. Lewis
    Pages 169-180

  13. On certain arithmetical sums

    • K. Nageswara Rao
    Pages 181-192

  14. The use of measure theoretic methods in the study of additive arithmetic functions

    • C. Ryavec
    Pages 193-203

  15. Generalized arithmetic function algebras

    • David A. Smith
    Pages 205-245

  16. On some arithmetic convolutions

    • M. V. Subbarao
    Pages 247-271

  17. The number of bi-unitary divisors of an integer

    • D. Suryanarayana
    Pages 273-282

  18. Density bounds for the sum of divisors function

    • Charles R. Wall
    Pages 283-287

  19. Back Matter

    Pages 289-291
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Keywords

Bibliographic Information

  • Book Title: The Theory of Arithmetic Functions

  • Book Subtitle: Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971

  • Editors: Anthony A. Gioia, Donald L. Goldsmith

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0058781

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1972

  • Softcover ISBN: 978-3-540-05723-9Published: 01 January 1972

  • eBook ISBN: 978-3-540-37098-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 292

  • Topics: Mathematics, general

  • Industry Sectors: Engineering, IT & Software

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