Majid Ghandali

Fibonacci Character Sums at Rank Index Two and Jacobsthal Sums

This preprint studies quadratic character sums over one full rank period of the Fibonacci sequence, $S(p) = sum_{j=1}^{z(p)} (F_j/p)$, where $z(p)$ is the rank of apparition of the prime $p$ and $(./p)$ denotes the Legendre symbol. The paper focuses on the rank-index-two case $i_...