L. Gallardo

activity

20072023

F_{2}

with four prime factors

8 citations · 12 across the 17 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014

If $p^{a} ∣∣ n$ where $n > 4$ is the order of a Circulant Hadamard matrix, then the order of $p$ modulo $n / p^{a}$ is odd

Luis H. Gallardo

We proved recently (see \cite{lhgarasu}) the result on the title for odd prime divisors of such an $n .$ The result implies for many $n^{'} s$ , more precisely, for an infinity of $n$ 's…

math.NT2014

Quadratic residues and a new infinity of orders for which a conjecture of Ryser about Circulant Hadamard matrices holds

Luis H. Gallardo

For every positive integer $k$ such that $k > 1,$ there are an infinity of odd integers $h$ with $ω (h) = k$ distinct prime divisors such that there do not exist a Circulant Hadamard m…

If pa∣∣n where n>4 is the order of a Circulant Hadamard matrix, then the order of p modulo n/pa is odd

Quadratic residues and a new infinity of orders for which a conjecture of Ryser about Circulant Hadamard matrices holds

If $p^{a} ∣∣ n$ where $n > 4$ is the order of a Circulant Hadamard matrix, then the order of $p$ modulo $n / p^{a}$ is odd