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Analytic and Elementary Number Theory

A Tribute to Mathematical Legend Paul Erdos

  • Book
  • © 1998

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Editors:
  1. K. Alladi
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  2. P. D. T. A. Elliott
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  3. A. Granville
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  4. G. Tenebaum
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Part of the book series: Developments in Mathematics (DEVM, volume 1)

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Table of contents (17 chapters)

  1. Front Matter

    Pages 1-4
    Download chapter PDF

  2. Editorial

    • Krishnaswami Alladi
    Pages 5-6

  3. Euler’s Function in Residue Classes

    • Thomas Dence, Carl Pomerance
    Pages 7-20

  4. Partition Identities Involving Gaps and Weights, II

    • Krishnaswami Alladi
    Pages 21-37

  5. The Voronoi Identity via the Laplace Transform

    • Aleksandar Ivić
    Pages 39-45

  6. The Residue of p(N) Modulo Small Primes

    • Ken Ono
    Pages 47-54

  7. A Small Maximal Sidon Set

    • Imre Z. Ruzsa
    Pages 55-58

  8. Sums and Products from a Finite Set of Real Numbers

    • Kevin Ford
    Pages 59-66

  9. The Distribution of Totients

    • Kevin Ford
    Pages 67-151

  10. A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes

    • Karl-Heinz Indlekofer, Nikolai M. Timofeev
    Pages 153-165

  11. Entiers Lexicographiques

    • André Stef, Gérald Tenenbaum
    Pages 167-184

  12. The Berry-Esseen Bound in the Theory of Random Permutations

    • E. Manstavičius
    Pages 185-199

  13. Products of Shifted Primes. Multiplicative Analogues of Goldbach’s Problems, II

    • P. D. T. A. Elliott
    Pages 201-217

  14. On Products of Shifted Primes

    • P. Berrizbeitia, P. D. T. A. Elliott
    Pages 219-223

  15. On Large Values of the Divisor Function

    • P. Erdős, J.-L. Nicolas, A. Sárközy
    Pages 225-245

  16. Some New Old-Fashioned Modular Identities

    • Paul T. Bateman, Marvin I. Knopp
    Pages 247-269

  17. Linear Forms in Finite Sets of Integers

    • Shu-Ping Han, Christoph Kirfel, Melvyn B. Nathanson
    Pages 271-281

  18. A Binary Additive Problem of Erdős and the Order of 2 mod p 2

    • Andrew Granville, K. Soundararajan
    Pages 283-298
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Keywords

About this book

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal with the most recent advances in a wide variety of topics, including arithmetical functions, prime numbers, the Riemann zeta function, probabilistic number theory, properties of integer sequences, modular forms, partitions, and q-series.
Audience: Researchers and students of number theory, analysis, combinatorics and modular forms will find this volume to be stimulating.

Bibliographic Information

  • Book Title: Analytic and Elementary Number Theory

  • Book Subtitle: A Tribute to Mathematical Legend Paul Erdos

  • Editors: K. Alladi, P. D. T. A. Elliott, A. Granville, G. Tenebaum

  • Series Title: Developments in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-4507-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag US 1998

  • Hardcover ISBN: 978-0-7923-8273-7Published: 30 September 1998

  • Softcover ISBN: 978-1-4419-5058-1Published: 03 December 2010

  • eBook ISBN: 978-1-4757-4507-8Published: 21 December 2013

  • Series ISSN: 1389-2177

  • Series E-ISSN: 2197-795X

  • Edition Number: 1

  • Number of Pages: IV, 300

  • Topics: Number Theory, Analysis, Combinatorics, Sequences, Series, Summability

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