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Number Theory and Related Fields

In Memory of Alf van der Poorten

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Jonathan M. Borwein

    1. , School of Math. & Physical Sciences, University of Newcastle, Callaghan, Australia

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  2. Igor Shparlinski

    1. , Department of Computing, Macquarie University, North Ryde, Australia

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  3. Wadim Zudilin

    1. , School of Math. & Physical Sciences, University of Newcastle, Callaghan, Australia

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  • Collects contributions based on the proceedings of "International Number Theory Conference in Memory of Alf van der Poorten"
  • These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and related topics
  • The subjects of these articles and surveys are inspired by Alf van der Poorten's wide area of research interests, including number theory, continued fractions, elliptic curves and more
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 43)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)

    • David Hunt
    Pages 1-53

  3. Ramanujan–Sato-Like Series

    • Gert Almkvist, Jesús Guillera
    Pages 55-74

  4. On the Sign of the Real Part of the Riemann Zeta Function

    • Juan Arias de Reyna, Richard P. Brent, Jan van de Lune
    Pages 75-97

  5. Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

    • Khodakhast Bibak
    Pages 99-128

  6. Transcendence of Stammering Continued Fractions

    • Yann Bugeaud
    Pages 129-141

  7. Algebraic Independence of Infinite Products and Their Derivatives

    • Peter Bundschuh
    Pages 143-156

  8. Small Representations by Indefinite Ternary Quadratic Forms

    • J. B. Friedlander, H. Iwaniec
    Pages 157-164

  9. Congruences for Andrews’ spt-Function Modulo 32760 and Extension of Atkin’s Hecke-Type Partition Congruences

    • F. G. Garvan
    Pages 165-185

  10. Continued Fractions and Dedekind Sums for Function Fields

    • Yoshinori Hamahata
    Pages 187-197

  11. Burgess’s Bounds for Character Sums

    • D. R. Heath-Brown
    Pages 199-213

  12. Structured Hadamard Conjecture

    • Ilias S. Kotsireas
    Pages 215-227

  13. Families of Cubic Thue Equations with Effective Bounds for the Solutions

    • Claude Levesque, Michel Waldschmidt
    Pages 229-243

  14. Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros

    • Ouamporn Phuksuwan, Vichian Laohakosol
    Pages 245-252

  15. On Balanced Subgroups of the Multiplicative Group

    • Carl Pomerance, Douglas Ulmer
    Pages 253-270

  16. Some Extensions of the Lucas Functions

    • E. L. Roettger, H. C. Williams, R. K. Guy
    Pages 271-311

  17. The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture

    • Jennifer Seberry
    Pages 313-320

  18. Description of Generalized Continued Fractions by Finite Automata

    • Jeffrey Shallit
    Pages 321-339

  19. On Prime Factors of Terms of Linear Recurrence Sequences

    • C. L. Stewart
    Pages 341-359

  20. Some Notes on Weighted Sum Formulae for Double Zeta Values

    • James Wan
    Pages 361-379
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Keywords

About this book

“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.​  

Editors and Affiliations

  • , School of Math. & Physical Sciences, University of Newcastle, Callaghan, Australia

    Jonathan M. Borwein, Wadim Zudilin

  • , Department of Computing, Macquarie University, North Ryde, Australia

    Igor Shparlinski

Bibliographic Information

  • Book Title: Number Theory and Related Fields

  • Book Subtitle: In Memory of Alf van der Poorten

  • Editors: Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-1-4614-6642-0

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-6641-3Published: 16 May 2013

  • Softcover ISBN: 978-1-4939-0217-0Published: 23 June 2015

  • eBook ISBN: 978-1-4614-6642-0Published: 16 May 2013

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 395

  • Topics: Number Theory

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