Colloquium: Kalman Liptai
Event Type:
Colloquium
Speaker:
Kalman Liptai
Event Date:
Thursday, July 31, 2014 -
4:00pm to 5:00pm
Location:
SMLC 356
Audience:
Faculty/StaffStudents
Event Description:
**Colloquium will start at 4:00 (not at the usual time) and coffee and cookies at 3:30.**
Generalizations of Balancing Numbers
A positive integer n is called a balancing number if
1 + 2 + ... + (n +1) = (n + 1) + (n + 2) + ... + (n + r)
for some positive integer r. We study some generalizations of balancing numbers
which are called (a,b)-type balancing numbers, cobalancing numbers, multiplying
balancing numbers or (k,l)-power numerical center. We give effective finiteness theorems
for the polynomial values of (a,b)-balancing numbers. Specially, we investigate
the power values of (a,b)-type balancing numbers. We mention new results concerning
generalizations of balancing numbers.
