July 5 - July 9, 2004
Technical University Carolo-Wilhelmina
Braunschweig, Germany
Post-Conference Information
| PROGRAM OF SPEAKERS | |
| All sessions will be held in the Aula in Pockelsstr. 11 at the corner of Rebenring. | |
|
First Day Monday July 5, 2004 | |
| 7:30 - 9:00 | Registration (Aula Pockelsstr. 11) |
| 9:00 - 9:15 | Welcome by the Dean of the Fachbereich fuer Mathematik und Informatik |
| 9:15 - 9:30 | Announcements |
| Monday Morning Session - Moderated by Bill Webb | |
| 9:30 - 9:50 | Fredric T. Howard (Chizhong Zhou): Sums of Powers of Generalized Fibonacci Numbers |
| 9:50 - 10:10 | Larry Ericksen: Golden Tuple Products |
| 10:10 - 10:30 | Curtis Cooper (Richard Parry Jr.): Factorization of Some Periodic Linear Recurrence Systems |
| 10:30 - 11:00 | Break For Refreshments |
| 11:00 - 11:20 | Clark Kimberling: Binary Words with Restricted Repetitions and Associated Compositions of Integers |
| 11:20 - 11:40 | C.M. Campbell (Peter P. Campbell): The Fibonacci Lengths of Binary Polyhedral Groups and Related Groups |
| 11:40 - 12:00 | Lawrence Somer: Generalization of a Theorem of Jarden |
| Monday Afternoon Session - Moderated by Fred Howard | |
| 1:30 - 1:50 | Haruo Hosoya: Unified Graph-Theoretic Reorganization and Interpretation of the Family of Recursive Series and Polynomials of Fibonacci, Lucas, and Pell |
| 1:50 - 2:10 | Yaroslav A. Latushkin: Some Representation of the Recurrent Sequence by the Previous Terms |
| 2:10 - 2:30 | George Grossman (Aklilu Zeleke, Akalu Tefera): On Proofs of Certain Combinatorial Identities |
| 2:30 - 2:50 | William A. Webb: An Algorithm for Proving Arbitrary Identities Involving Linear Recurrence Sequences |
| 2:50 - 3:20 | Break For Refreshments |
| 3:20 - 3:40 | A.G. Shannon (K.T. Atanassov): An Extremal Problem Related to the Fibonacci Sequence |
| 3:40 - 4:00 | Zvonko Cerin: On Sums of Odd and Even Terms of the Lucas Sequence |
| 4:00 - 4:20 | Radu Teodorescu: Solving Linear Recurrence Relations |
| 6:00 - 8:00 | Wine and Cheese Reception, Pockelsstr.4 |
|
Second Day Tuesday July 6, 2004 | |
| Tuesday Morning Session - Moderated by Peter Anderson | |
| 9:00 - 9:20 |
Yongzhi (Peter) Yang: A Generalized Pascal Matrix and its Applications |
| 9:20 - 9:40 |
Karl Dilcher: A Pascal-type Triangle Characterizing Twin Primes |
| 9:40 - 10:00 |
John C. Turner: Fibonacci Tracks in Quadratic Fields |
| 10:00 - 10:30 | Break For Refreshments |
| 10:30 - 10:50 |
Marjorie Bicknell-Johnson (Peter G. Anderson): Representations Using Negatively Subscripted Fibonacci and Tribonacci Numbers with Applications |
| 10:50 - 11:10 |
P. Kocábová: Integers with Maximal Number of Fibonacci Representations |
| 11:10 - 11:30 |
Tamás Lengyel: On Calculating the Sprague-Grundy Function for the Game Euclid |
| 11:30 - 11:50 |
Evangelos Tzanis: Collatz Conjecture and Other Similar Problems: Properties and Algorithms |
| Tuesday Afternoon Session - Moderated by Marjorie Johnson | |
| 1:30 - 1:50 |
Pantelimon Stanica (Florian Luca): Fibonacci Numbers of the Form pa±pb |
| 1:50 - 2:10 |
Florian Luca (Pantelimon Stanica): Fibonacci Numbers which are not Sums of Two Prime Powers |
| 2:10 - 2:30 |
Neville Robbins: On the Number of Quadratic Non-Residues That Are Not Primitive Roots (mod p) |
| 2:30 - 3:00 | Break For Refreshments |
| 3:00 - 3:20 |
Mark Bollman (George Grossman): Sums of Consecutive Factorials in the Fibonacci Sequence |
| 3:20 - 3:40 |
Sandi Klavzar (Petra Zigert): Fibonacci Cubes are the Resonance Graphs of Fibonaccenes |
| 3:40 - 4:00 |
Yohei Tachiya: Transcendence of Certain Infinite Products |
|
Third Day Wednesday July 7, 2004 | |
| Wednesday Morning Session - Moderated by Karl Dilcher | |
| 9:00 - 9:20 |
Arthur Benjamin (Timothy Carnes): Counting the Sums of Cubes of Fibonacci Numbers |
| 9:20 - 9:40 |
Doron Zeilberger: A Fibonacci-Counting Proof Begged by Benjamin and Quinn |
| 9:40 - 10:00 |
William A. Webb (N. D. Criddle, D. W. DeTemple): Combinatorial Chessboard Tilings |
| 10:00 - 10:30 | Break For Refreshments |
| 10:30 - 10:50 |
Richard L. Ollerton: Diagonal Sums of Pascal's Triangle |
| 10:50 - 11:10 |
N.H. Bong: Lucas Matrices and Matrix Representations of Lucas Numbers |
| Wednesday Afternoon | |
| 12:30 - 22:30 | Visit to the Antostadt at Wolfsburg |
|
Fourth Day Thursday July 8, 2004 | |
| Thursday Morning Session - Moderated by Helen Grundman | |
| 9:00 - 9:20 |
Lawrence Somer: Period Patterns of Certain kth-Order Linear Recurrences Over a Finite Field |
| 9:20 - 9:40 |
Joaquim Eurico A.D. Nogueira: The Least Period of the Ratio Sequence |
| 9:40 - 10:00 |
Christian Ballot: A Weak Generalization of Ordinary Lucas Sequences Involving the Sequence {AN+BN+CN}N≥0 |
| 10:00 - 10:30 | Break For Refreshments |
| 10:30 - 10:50 |
A.F. Horadam (A.G. Shannon, Peter G. Anderson): Some Algebraic Properties of Some Numbers Related to Architecture |
| 10:50 - 11:10 |
A.G. Shannon (Peter G. Anderson, A.F. Horadam): Numerical Properties of Some Numbers Related to Architecture |
| 11:10 - 11:30 |
George M. Phillips: Index-doubling in Sequences by Aitken Acceleration |
| Thursday Afternoon Session - Moderated by Gerald Bergam | |
| 1:30 - 1:50 |
H.G. Grundman (L.L. Hall): Solutions to xyz = x+y+z = 1 in Quintic Number Rings |
| 1:50 - 2:10 |
Kenneth S. Berenhaut (Daniel C. Morton, Ying Wai Fan): Bounds for Second Order Recurrences in Terms of Maximal Products over Integer Partitions |
| 2:10 - 2:30 |
Ping Ding: Monochromatic Representations of Quadratic Polynomials |
| 2:30 - 3:00 | Break For Refreshments |
| 3:00 - 3:20 |
Jonathan Sondow: Irrationality Measures, Continued Fractions, and Fibonacci Numbers |
| 3:20 - 3:30 |
John C. Turner: Note on Proofs of Irrationality of Roots of Natural Numbers |
| 3:30 - 4:30 |
Problem Session: Clark Kimberling will lead an informal problem session. Everyone is invited to submit your questions. |
| 7:30 | Banquet at Restaurant Lindenhof, Kasernenstr. |
|
Fifth Day Friday July 9, 2004 | |
| Friday Morning Session - Moderated by Clark Kimberling | |
| 9:00 - 9:20 |
Iekata Shiokawa: <q,r> Number Systems and Algebraic Independence |
| 9:20 - 9:40 |
S. Brlek (V. Berthé, P. Choquette): A New Characterization of the Fibonacci Word |
| 9:40 - 10:00 |
Yasuichi Horibe (Ippei Tajima): Fibonacci Digraph and Its Entropy |
| 10:00 - 10:30 | Break For Refreshments |
| 10:30 - 10:50 |
Janet Mc Shane (Michael Ratliff): Fibonacci-Like Sequences of Apollonian Circle Packings |
| 10:50 - 11:10 |
Paul K. Stockmeyer: Binary Sequences, Braids, and Bidiagonal Matrices |
| 11:10 - 11:30 |
Kenji Nagasaka (Tomokazu Takahashi, Hideyuki Miyazaki): Elliot Wave Theory with Fibonacci Ratio in Stock Market and Fractal Dimension |
| 11:30 - 11:50 |
G.K. Panda: Some Fascinating Properties of Balancing Numbers |
| Friday Afternoon Session - Moderated by A.F. Horadam | |
| 1:30 - 1:50 |
A. Paszkiewicz (A. Rotkiewicz): On Pseudoprimes of the Form an-a |
| 1:50 - 2:10 |
Anthony Sofo: On Abel Polynomials |
| 2:10 - 2:30 |
Tom C. Brown: A simple proof of Lerch's formula |
| 2:30 - 3:00 | Break For Refreshments |
| 3:00 | Business Meeting |