The statement, which is fundamental for this article, is that, the indicators of citation of each individual scientist should be determined not only by the references, received to his publications, but also by the breadth of author's circle, from which these references are obtained. The article extends a series of other works, based on the same basic statement, completed within the same problem (which, thus, is recognized as topical for the scientometrics). In the article, aspecific method of correction of calculation of the number of citations of a scientist, based on considering a sameness of citing authors, is proposed. The algorithm based on partial subtracting from scientometrics indicators of the scientist those citations, that come from most frequent authors. The definition of a cluster (core) of authors, who especially often are cited the scientist, based on a same mathematical model, on which based a building of the Hirsch core. Various nuances of the proposed method, associated with multiple citations, coming from a same citing publication, or coming from a publication, made in co-authorship, are analyzed. A specific example of application of the method is analyzed. A comparison of the proposed method with other algorithms, which were developed, used and discussed earlier, is carried out.