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).

翻译：截至目前，许多研究者探讨了以下问题：给定总被引次数，h指数的估计范围是什么？本文则考虑相反的问题：仅利用研究者的h指数、其h核以及可能少量来自尾部的被引次数，估计其总被引次数。为此，我们采用Canfield、Corteel和Savage（1998）证明的当n趋于无穷时Durfee正方形模大小的渐近公式——该成果比Hirsch（2005）定义h指数早了七年。该公式验证了Hirsch引文h指数的渐近正态性。基于这一渐近公式，我们在第4节提出五种利用研究者h指数及其h核估计总被引次数的方法。这些估计主要通过添加研究者h尾部的小规模额外被引次数进行优化。第5节给出了大量相关计算结果。值得注意的是，对于E. Garfield、H.D. White（表2）、G. Andrews、L. Leydesdorf和C.D. Savage（表5），总被引次数估计值B的相对误差delta(B)惊人地接近于零。