  We propose a new index, the $j$-index, which is defined for an author as the
sum of the square roots of the numbers of citations to each of the author's
publications. The idea behind the $j$-index it to remedy a drawback of the
$h$-index $-$ that the $h$-index does not take into account the full citation
record of a researcher. The square root function is motivated by our desire to
avoid the possible bias that may occur with a simple sum when an author has
several very highly cited papers. We compare the $j$-index to the $h$-index,
the $g$-index and the total citation count for three subject areas using
several association measures.
  Our results indicate that that the association between the $j$-index and the
other indices varies according to the subject area. One explanation of this
variation may be due to the proportion of citations to publications of the
researcher that are in the $h$-core. The $j$-index is {\em not} an $h$-index
variant, and as such is intended to complement rather than necessarily replace
the $h$-index and other bibliometric indicators, thus providing a more complete
picture of a researcher's achievements.
