E. Canfield

activity

20012019

most citedAsymptotic enumeration of integer matrices with constant row and column sums

9 citations · 12 across the 10 of their papers we have counts for

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Showing 2003 · math.COShow all

2 papers · 2 filters

math.CO2003★ 1 cited

Regularly spaced subsums of integer partitions

E. Rodney Canfield, Carla D. Savage, Herbert S. Wilf

For integer partitions $λ : n = a_{1} + ... + a_{k}$ , where $a_{1} \geq a_{2} \geq> ... \geq a_{k} \geq 1$ , we study the sum $a_{1} + a_{3} + ...$ of the parts of odd index. We show that the average of this sum, ov…

math.CO2003

A Discontinuity in the Distribution of Fixed Point Sums

Edward A. Bender, E. Rodney Canfield, L. Bruce Richmond +1

The quantity $f (n, r)$ , defined as the number of permutations of the set $[n] = {1, 2, ... n}$ whose fixed points sum to $r$ , shows a sharp discontinuity in the neighborhood of $r = n$ .…