3 problems

Cyclotomic partition conjecture. For every integer $t>1$, there are $N_t/18$ pairs $(a_i,b_i)$, $i=1,\ldots,N_t/18$, such that

Let $q$ be a power of $2$ and let $n=q^m+1$, with the quantities $\delta_2$ and $\delta_3$ defined as in the preceding cases for even $m$. Second and third largest coset leader con…

Let $q$ be an odd prime power and let $n=q^m+1$, with the quantities $\delta_3$ and $\delta_4$ defined as in the preceding cases for even $m$. Third and fourth largest coset leader…