  So far, many researchers have investigated the following question: Given
total number of citations, what is the estimated range of the h index? Here we
consider the converse question. Namely, the aim of this paper is to estimate
the total number of citations of a researcher using only his h index, his h
core and perhaps a relatively small number of his citations from the tail. For
these purposes, we use the asymptotic formula for the mode size of the Durfee
square when n tends to infinity, which was proved by Canfield, Corteel and
Savage (1998), seven years before Hirsch (2005) defined the h index. This
formula confirms the asymptotic normality of the Hirsch citation h index. Using
this asymptotic formula, in Section 4 we propose five? estimates of a total
number of citations of a researcher using his h index and his h core. These
estimates are refined mainly using small additional citations from the h tail
of a researcher. Related numerous computational results are given in Section 5.
Notice that the relative errors delta(B) of the estimate B of a total number of
citations of a researcher are surprisingly close to zero for E. Garfield, H.D.
White (Table 2), G. Andrews, L. Leydesdorf and C.D. Savage (Table 5).
