Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Pramod Kumar Kewat, Ram Kumar

For non-negative integers $l_1,l_2,\dots ,l_n$, we define character sums ${\phi }_{(l_1,l_2,\dots ,l_n)}$ and ${\psi }_{(l_1,l_2,\dots ,l_n)}$ over a finite field which…