Some results towards the Dittert conjecture on permanents

Let Kn denote the convex set consisting of all real nonnegative n×n matrices whose entries have sum n. For A in Kn with row sums r1,...,rn and column sums c1,...,cn, define φ(A)=Πi=1n rij=1n cj -per(A). Dittert's conjecture asserts that the maximum of φ on Kn occurs uniquely at Jn=[1/n]n×n. In this paper, we prove:

Click here to download the whole paper.