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math.CO2012
Minimizing the number of carries in addition
Noga Alon
When numbers are added in base in the usual way, carries occur. If two random, independent 1-digit numbers are added, then the probability of a carry is . Other…
math.CO2012
Restricted integer partition functions
Noga Alon
For two sets and of positive integers and for a positive integer , let denote the number of partitions of with parts in and multiplicities in , tha…