Applications of Fibonacci Numbers

Volume 5 Proceedings of ‘The Fifth International Conference on Fibonacci Numbers and Their Applications’, The University of St. Andrews, Scotland, July 20–July 24, 1992

  • Gerald E. Bergum
  • Andreas N. Philippou
  • Alwyn F. Horadam

Table of contents

  1. Front Matter
    Pages i-xxxiv
  2. Peter G. Anderson
    Pages 1-9
  3. Joseph Arkin, David C. Arney, Frank R. Giordano, Rickey A. Kolb, Gerald E. Bergum
    Pages 45-48
  4. Huseyin Aydin, Geoff C. Smith
    Pages 49-59
  5. Huseyin Aydin, Ramazan Dikici, Geoff C. Smith
    Pages 61-68
  6. Colin M. Campbell, Edmund F. Robertson, Richard M. Thomas
    Pages 77-83
  7. O. Chryssaphinou, S. Papastavridis, T. Tsapelas
    Pages 103-112
  8. Stuart Clary, Paul D. Hemenway
    Pages 123-136
  9. Charles K. Cook, Gerald E. Bergum
    Pages 137-142
  10. Ivan H. Dimovski, Virginia S. Kiryakova
    Pages 159-168
  11. L. A. G. Dresel
    Pages 169-184
  12. Marco Faccio, Giuseppe Ferri, Arnaldo D’Amico
    Pages 199-206
  13. Piero Filipponi, Herta T. Freitag
    Pages 217-219
  14. Dan Flath, Rhodes Peele
    Pages 221-228
  15. Dan Flath, Rhodes Peele
    Pages 229-244
  16. Matthew Fletcher, Geoff C. Smith
    Pages 245-256
  17. P. J. Grabner, P. Kirschenhofer, H. Prodinger, R. F. Tichy
    Pages 263-271
  18. Heiko Harborth, Lothar Piepmeyer
    Pages 279-288
  19. Alwyn F. Horadam, Piero Filipponi
    Pages 317-330
  20. A. F. Horadam, A. G. Shannon
    Pages 331-343
  21. Yasuichi Horibe
    Pages 345-354
  22. F. T. Howard
    Pages 355-366
  23. Calvin Long, Graeme L. Cohen, Timothy Langtry, A. G. Shannon
    Pages 449-457
  24. Winfried B. Müller, Alan Oswald
    Pages 459-464
  25. S. P. Pethe, C. N. Phadte
    Pages 465-472
  26. Helmut Prodinger
    Pages 473-479

About this book


This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St. Andrews, St. Andrews, Fife, Scotland from July 20 to July 24, 1992. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its four predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 5, 1993 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U.S.A. Alwyn F. Horadam University of New England Armidale, N.S.W., Australia Andreas N. Philippou Government House Z50 Nicosia, Cyprus xxv THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Campbell, Colin M., Co-Chair Horadam, A.F. (Australia), Co-Chair Phillips, George M., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Foster, Dorothy M.E. Ando, S. (Japan) McCabe, John H. Bergum, G.E. (U.S.A.) Filipponi, P. (Italy) O'Connor, John J.


LCM Permutation Prime Vector space binomial calculus classification continued fraction cryptography finite field number theory numerical analysis statistics

Editors and affiliations

  • Gerald E. Bergum
    • 1
  • Andreas N. Philippou
    • 2
  • Alwyn F. Horadam
    • 3
  1. 1.Computer Science DepartmentSouth Dakota State UniversityBrookingsUSA
  2. 2.Ministry of EducationNicosiaCyprus
  3. 3.Department of Mathematics, Statistics and Computer ScienceUniversity of New EnglandArmidaleAustralia

Bibliographic information