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A Real eigenvector of Circulant matrices and a conjecture of Ryser

2019/03/22 by Gallardo, Luis H. · 1 citation
#(Primary) 11C20 (Secondary) #11B30 #15B34 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1903.09274

Abstract

We prove that there is no circulant Hadamard matrix H with first row [h1,…,hn] of order n>4, under a condition about a sum of scalar products of rows of two other circulant matrices of size n/2 associated to H.

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